Well, it's been more than a few hours, but I'm back to report how my surgery went.
The nurse made me feel more comfortable than I thought she'd be able to. Very sweet, talked me through how everything would work, answered any questions I had for her - still, I was a nervous wreck. The doctor came in and talked me through it some more and then started to prep me. First thing: numbing the cervix. She told me it may feel similar to getting a shot from the dentist, a small pinch she said. (I've never had a shot at the dentist and I'm always scared those would hurt, so... still nervous) Now I'm not going to lie, the shot itself did pinch and hurt a bit, but it started to go numb pretty quickly. I know because I asked her if she was going to test it, to make sure it was numb. She asked if I felt what she was doing, I said no - it turns out she was jabbing me with a needle. So, good to go I said!
The procedure itself only took about 7 to 10 minutes. She cut out 2 affected areas and the cauterized the area. I couldn't really feel this, but I don't know how to describe it properly. Before the cauterization I felt like I had an open wound with wind passing over it. It kind of stung, but not any more than a paper cut. With the cauterization I could feel some pressure, but not any more than cleaning out a small cut. All in all, it wasn't so bad - still uncomfortable, but not at bad as I expected at all.
Now, I've been home for about 24 hours, just taking it easy. She expects me to have bleeding and discharge, no more than any normal period. I go back in 6 weeks just to check and make sure my cervix is healing how it's supposed to. No sex for 6 weeks, but if the trade-off is that I'm going to be healthy again, it'll be worth it.

All in all, I felt some minor pain and a little discomfort yesterday (really, really minor), but today I'm feeling okay. If anyone has any specific questions, please feel free to ask! And for god's sake, don't research anything on the internet, it'll just make any worrying you have about your situation worse... trust me.