You need to check out Haight-Ashbury neighbourhood - some cool shops, Cha Cha Cha restaurant (ate there twice, delicious) - still very hippie/1960's...awesome. I stayed in the Red Victorian bed and breakfast (
http://redvic.net/)- an "interesting" experience.
I explored all of the neighbourhoods that I could get to. Cool curvy and very steep Lombard street is worth a quick look, do a cable car ride, why not... you are going to be in food heaven there....OMG so much good food and great sushi.
golden gate as skank suggested, wander down the Castro area, it's one of my favorite cities, sorry I can't come and play
Alcatraz didn't do it for me, great food around the Mission area, be careful there though...well was a little sketchy when I was there
So much to do...enjoy!
Remember, Ginger Rogers did everything Fred Astaire did, but backwards and in high heels.