Bilateral eyelid surgery means operating on both eyes. Bilateral upper eyelid surgery involves operating on both upper eyelids, bilateral lower eyelid surgery involves operating on both lower eyelids,and bilateral upper and lower eyelid surgery obviously involves operating on both upper and lower eyelids. Blepharoplasty (eyelid tuck or eyelid surgery) is one of my favorite procedures that usually gives excellent results with minimal discomfort and a quick recovery.
In medicine, bilateral mean both sides. There are four eyelids. Two upper eyelids and two lower eyelids. Bilateral eyelid surgery just means that both sides are having surgery at the same time. A person could have upper eyelid surgery, lower eyelid surgery or both.