You Don't Get an Epidural
Unless you have an unexpected C-section after your epidural is already in place, they'll most likely administer spinal anesthesia to numb you for surgery. This is because with a spinal, less medication is needed to achieve the same amount of numbness that you'd get with an epidural and a spinal works almost immediately.
I've had both, and from what I remember, the spinal was actually less unpleasant to get (but still unpleasant), though in either case it definitely depends on how good your anesthesiologist is. Both the spinal and the epidural allow you to be awake during the surgery and present during the birth of your baby(ies) and also not to feel "anything" (see ahead).