Answer:
The surgeons make small incisions to put the laparoscopic instruments through. Here is a picture of one surgeon's incisions:
http://www.cliftonthomasmd.com/images/co...
I like that picture because it shows a big belly!
Here is a photo of surgeons doing laparoscopy:
http://fertilethoughts.com/book/laparosc...
Here is a typical picture of what the surgeon sees on the video monitor:
http://www.murrasaca.com/laparoscopy13.j...
The scars on the outside will probably be small, and unless you are prone to keloid formation, they'll hardly be noticeable.
However - any time there is surgery in the abdomen, there is a chance of forming adhesions, which are scars inside the belly. They sort of look like spider webs. Some people make a lot of them, some people don't. It's just one of those things.
Adhesions can sometimes cause problems with pain or bowel obstruction. That's not a reason not to have the surgery, though, if you think it will be of benefit to you.
In the procedures I'm familiar with, there are 3 very tiny incisions made in the general area of the belly button. Through these incisions, the doctor inserts long, thin instruments to do the procedure, as well as a scope with which he can see what is going on. Over time, the incisions will practically disappear.