The actual operation will go something like this:
The dentist will bring you into their office and ask you to sit in a comfortable chair. They'll put some stickers on your chest that are slightly cold at first, but soon you'll barely notice them.
They'll take your blood pressure and your temperature to make sure you're in good shape to undergo the operation.
Then they'll make the chair into a bed. Don't be scared when this happens, it's going to make the procedure more comfortable than sitting up.
Your dentist will put a soft oxygen mask on you, similar to the mask that fighter pilots use when they fly jets. Next, they'll give you some laughing gas through that mask that will make you feel warm and fuzzy inside, and you'll feel happy about what your dentist is about to do.
They'll then give you an IV that will administer medicine so that you won't even feel the wisdom tooth being pulled. If you don't like needles, just look away from this part as it will just sting for a second while they put in the IV.
Then, your dentist might put shades over your eyes to help you fall asleep. Once you're asleep, the surgeon will come in and remove the wisdom teeth, and you'll wake up as if nothing happened.