That could very well be your wisdoms penetrating your gums. If the sensation is on both sides similarly, that's a sure-fire sign.
I got my lower 2 wisdom's out at 16 or 17, and yes they dope you the forget up on morphine/gas/other stuff to do it usually.
I don't remember much but my dad had me take a video of myself on my phone afterwards (still doped a f) and it was hysterical. The blank amused daze didn't wear off until the next morning.
After you get them out, eating will be a bitch. Usually after 5-9 days the wound is healed up pretty nicely, but you'll be eating lots of scrambled eggs, and mashed potatoes.