A specialist doctor (Anesthesiologist) will give you medicine through an intravenous needle (IV) in your arm. You will fall asleep almost immediately, and will likely not recall waking up.
You will be monitored throughout the surgery to make sure you are safe and your body is functioning normally.
When you wake up in the recovery room, you may have monitors for your heart and oxygen levels. You may experience hoarseness, or slightly sore throat from the breathing tube for a few days after a general anesthetic. These symptoms usually disappear by themselves.
You will be able to go home generally within 2-3 hours after your surgery. You must arrange for a responsible adult to take you home, even if you are going by taxi.