Oops! Sorry naxos for leading you astray. I got that info off the Hilton website...I guess they need to update it. Did you call Hilton Garden Inn in Livermore, or just the Hilton, because Garden Inns are a sort of new product for Hilton.
Regarding getting to SFO by 11 a.m. on Monday...is your flight at 11 or do you need to check in for your flight by 11?
With the morning traffic on all the Bay Area Bridges, I'd opt to drive back to SFO and stay somewhere overnight near the airport. Plenty of comfortable overnight options there.