Labiaplasty is usually done as an outpatient surgery. This means you go home the same day. You may get medicine to numb the area being worked on (local anesthesia) or to make you sleep (general anesthesia).
There are a few different methods for the surgery. Your doctor will recommend one based on your anatomy and your goals. During the surgery, excess tissue of the labia minora or majora is removed or reshaped. You may have stitches in place after the surgery. These will likely fall out on their own.