Terminology and Basics
Colpectomy, colpocleisis, and vaginectomy are all roughly synonymous terms meaning the closure/removal of the vagina. There are also "partial" versions that leave a small canal open, unsuitable for sexual penetration but able to drain menses if the uterus and ovaries are still intact. In the "radical" or "total" version, the uterus (and cervix) must be removed as well, because menstruating into a closed body cavity is very dangerous. (Not sure if removing both ovaries instead would do the trick, though!) This can be done at the same time, but may requires a different surgeon (for instance, an OB-GYN to assist a urologist).
At least for total vaginectomy, the doctor will also remove the vaginal mucosa walls, since they would continue to secrete into the closed body cavity. Different doctors have different methods for this, from excising the tissue (lengthy and bloody) to burning and cauterizing it (which requires special training). There is always a risk of missing a section which will continue to secrete and cause health risks, requiring follow-up surgery.
Urethral Lengthening Option
Different doctors have different policies here: some may require urethral lengthening for vaginectomy, some require vaginectomy for urethral lengthening (eg Meltzer, to provide greater tissue/blood vessel support), and some let the patient do one or the other by itself.
Dr. Garcia at UCSF highly recommends urethral lengthening when getting a vaginectomy, because otherwise the urethral opening remains in a now-recessed cavity where the vagina has been sutured shut, and there is increased risk of urinary infection and difficulty of cleaning.
This can be performed at the same time as the vaginectomy, and possibly could be performed later. Usually the new location is just underneath the clitoris/micropenis, and some people like to stand to pee by pulling up there and angling their stream. If you sit to pee, you may have to adjust how you sit -- farther back on the toilet, with legs wider apart, for example.
Vaginectomy does not preclude either metoidioplasty or phalloplasty, so you could do those later or even at the same time, depending on how long that makes the surgery. Scrotoplasty should also be possible. However, vaginectomy does remove tissue, so make sure to check if having less genital tissue will affect future surgery.
Physical Results and Scars
Some of the scarring depends on whether you get an abdominal, vaginal, or laparoscopic hysterectomy (this link has a lot of info). Be aware that an abdominal hysto resembles the scar of a C-section and may be viewed as a scar from giving birth. Laparoscopic scars (usually to remove ovaries and the upper part of the uterus) are more like two dime-sized-or-smaller dots on each side of your belly and one in your belly-button.
As for the vaginectomy itself, the tissue of the labia minora/small ridges are rolled over into the center where the vaginal opening used to be. This is not always perfectly symmetrical; some people end up with one side fused into the middle but the other side still being much like pre-surgery. This can also result in tissue that can grow hair being in the midline (which can be weird, especially if unexpected!). There is usually still a small cavity/dip where the vaginal opening used to be. Scars are likely not super visible. If you had urethral lengthening, your new opening is probably not very visible at all.
Expect not to ride a bike or go swimming for a good six months or more. Short-term, you will likely be weak for at least one to two months. It's a good idea to have a hospital-like bed that can raise at an incline, or an easy-chair, or lots of pillows to prop up on, as lying flat will probably stretch the lower abdomen and hurt a great deal and make sleeping difficult. Sneezing, laughing, even lifting things, anything that moves your belly can really hurt for a while.
You'll probably have one catheter, or even two with one plugged up (especially if you had urethral lengthening done), for at least one to two weeks. The bags will need to be emptied every few hours, and they do affect travel; one nifty technique is to keep them in a shopping bag for ease of carrying, leak prevention, and privacy. Plan on at least one doctor follow-up visit to remove the catheter(s), if not another one to check them without removing them yet; and even if you don't have catheters, there should be at least one follow-up to check for infection, sinus leakage indicating missed mucosa tissue, etc.
Bowel movements are also a problem. Expect to be prescribed multiple stool softeners and laxatives for when you go home, since pain meds often cause constipation and the hospital will have given you meds to prevent bowel movements for the first day or so. You definitely don't want to be straining to pass stool, as that's both painful and bad for the stitches, and there is some risk of the rectum prolapsing into the cavity left by removing the vagina. Make sure you've stocked up on toilet paper in advance!
General Hospital Logistics
As with all surgeries and hospital stays, brace yourself for misgendering by nurses and staff who aren't up-to-speed, and be wary of them forwarding phone calls from family through without checking your "no-call" list. Unfortunately, an advance directive doesn't seem to get noticed much. It's an extremely good idea to have an advocate/friend with you, as you will be exhausted and in pain and probably a little blurry.
Be sure to take out all piercings pre-surgery, even plastic stoppers. Although the hospital should provide all your prescription meds including psychiatric meds, be aware that they might only have generic or non-extended release or some other inexact match. They also might not give them to you at your designated med time; they often have a very "8am is Medication Time" mentality, and if you got out of surgery in the evening (as is likely), they may want to wait until the anesthesia wears off before giving you your medication, and they may push that off until morning. So if you have evening meds, even if you've told the hospital what they are and when you take them, it might be a good idea to ask the anesthesiologists about their plan, and to explain any withdrawal side effects you anticipate.
Hospital rooms are also usually lit by fluorescent lights, which doctors walking in will flip on without asking, so if you're sensitive to fluorescents it's great to have a nurse flat-out tape down the switch. Doctors will also be very in-your-space and inspect you physically, and while they will probably ask permission/consent both before looking and before touching, it can be extremely hard to feel like you have a choice at all. This includes orderlies and "learning" doctors, too, and while you may have met them all before surgery, it's very different afterwards. This is where it can really help to have an advocate/friend.
Hospitals can be a serious site of trauma, no matter how prepared you are or how many times you've been through surgery before. Please take good, good care of yourselves!