Do I actually need an operating agreement for a single-member LLC?

Just formed my LLC in Florida. It's just me (single-member). The state didn't ask for an operating agreement when I filed.

Do I actually need one? Seems weird to have a contract with myself.

Wow, didn't expect this thread to keep going. The S-corp thing is interesting - definitely not there yet revenue-wise but good to know for the future.

Updated my operating agreement to include a section on adding members since I might bring on a technical co-founder. Thanks for all the info everyone.