There are a number of places within a quarter mile of the hotel, including a
good Irish Bar and a
Techno club.
I'm a beer/whiskey/scotch person myself, so I'd go with the pub. Plus the kitchen is open until 10pm.
The bar in the hotel you're staying in looks a little hoitey-toitey, but they probably make a good dirty martini.
eta: In case you want to watch baseball/football, there's a sports bar right up the street, too.
Union Square Sports Bar
232 O'Farrell St
San Francisco, CA 94102