in my opinion, golden gate park, chinatown, bay bridge lights show after sunset, and baker beach (or ocean beach) are musts. everything else is optional and very touristy - but if you like "touristy" then go to fishermans wharf and union square.
my favorite meal of the day is brunch, so for restaurants, i recommend Zazies, Brenda's soul food, and Mama's on the Square.
p.s. what are you doing in livermore?? visiting family? otherwise there is nothing to do or see in livermore, however there are some excellent wineries in livermore. so if you enjoy wine tasting, google wineries in livermore.