You can learn a lot of information from taking a tour of a medical facility. Find out whether Ichilov Hospital is open to the public while you are in town.
You'll soon see why this Tel Aviv health care institution is visited by many travelers. If you're searching for more to do and see here, Gordon Beach, Carmel Market, and Old Tel Aviv Port are in this area as well. They won't take very long to reach from Ichilov Hospital.