I live about 30 min from SF...Yes Go to alcatraz, Great tour. You should also go to Peir 39 like everyone has suggested. There are many many places you should go. I dont know how much time you will have off work, but go to China Town, Go to Coit Tower, you should even go to Golden Gate Park (the good part, dont wander off, LOL) Shoot, Even the Financial district is cool to look at. Night life is awesome. I would recomend going to the many Visitor center stands and getting one of those tour guides. Ive lived here for 26 years, Have family and friends that live In the City, and have yet to see everything. There is just so much to do.
I know you have a limited time there so so the major tourist stuff like everyone has suggested you will have a great time.