“Are you awake during varicocele surgery?”

I think the best response to this question is, "Would you like to be awake during this procedure?"

There are options for anesthesia for a varicocele surgery, and these options could allow a patient to be either under general anesthesia (i.e., totally "asleep") or numb in the area of surgery and awake. The best approach is to discuss this with your Physician Anesthesiologist prior to the procedure, and for you two to come to a decision about which approach would be best for you and the surgeon performing the procedure.

Not typically.