I was young too, just turned 18yo, and I could swear that guy told me I'd be asleep for the procedure, but my husband claims I was just heavily sedated. I am not doubting him cause that is his field, but really, I totally thought I was out! I don't remember a thing from the moment the IV went in and I got extremely groggy till he was done and I 'woke up".
You can be asleep and not have general anesthesia.

There are lots of levels of anesthesia and sedation.
I had general for a major surgery back in June, and I had deep sedation for a more minor procedure last week. Both were done in the hospital, in an OR, and honestly, I couldn't tell the difference. I was "out" for both procedures, but only intubated for the major one, with general anesthesia.
I didn't experience a sore throat after being intubated (and that was my biggest fear about that surgery! LOL!) and I wasn't nauseated after either one. Both times, I was asked if I get motion sick (which I do) and I was premedicated with Reglan and Propulsid to help counteract the possiblity of post-anesthesia nausea.
After my deep sedation (I had propofol) I woke up feeling just fine, in fact. Just some minor soreness of my incision. Propofol is a great drug, by the way. We use it in the ER to set bones, and the patient is "out," but it's not general anesthesia. Things like colonoscopies and wisdom teeth extractions are usually also done under varying levels of sedation, depending on the patient's history and specific needs. My DH has epidural injections to manage pain and inflammation in his herniated disc and they use Versed. He remembers nothing from when it's given until he wakes up in recovery.
Anestheologists and nurse anesthesists are highly trained professionals and want you to have a safe and pain-free procedure. OP, feel free to ask yours any questions you have about possible side-effects from the drugs YOU will be given, and what can be done to prevent/treat those effects.
I hope everything goes well for you!
ETA - OP, please do NOT go google Malignant Hyperthermia! Not until after your procedure, anyway. It is REALLY rare. I've seen it happen twice in 21 years.
Stuff to worry about: nausea, sore throat, weird thoughts - like you're in a dream (DH says really funny stuff when he's coming out of his - lol) but the big stuff is why there's a dedicated professional there just to monitor your anesthesia. So try not to worry even about those things.
Sorry - edited again - I forgot to say how I felt waking up after general. -(doh!) I had no nausea, but I had pain from the actual surgery. That is my first memory, telling my recovery room nurse that I was in pain. Once I got pain meds, I started getting more clear-headed, and when I got back to my room I was awake, but just feeling a little drowsy. When I got home (it was a same-day surgery) I went to bed, got up, ate dinner, and went back to bed. The next day, I had surgical-site pain, but no after-effects from the anesthesia.