This is typically the case with the bigger planes, which take off from 28R (south to north), aiming pretty much for Sutro tower so most of the city will be to your right at take off. However most 767s and below will take off west to east typically, 1R/L I think it is, so you're basically aiming for the Oakland hills. In that case the city will be to your left, and at quite a distance since the airport is basically in San Bruno/Millbrae.
BTW, Tinkerbelle is right, especially in summer you might fly and the Sutro antenna will be about all you will see of SF ... not today though