From up on Mt. Hamilton, you can see a lot. Hard to see in my photo, I know. However, the left of the photo above shows San Jose and at right of middle shows San Francisco amongst much more. Its easier to see in person and so I highly recommend visiting. Drive safely and slowly as the road to the top is winding, includes many rocks and dirt patches, and is a favorite for impressive bicyclists to conquer.
South San Jose is in the right of this photo above and Monterey is in the center in the distance.
And when you are ready to go inside the Lick Observatory from atop Mt. Hamilton, you can see this gigantic telescope from 1888, among other modern telescopes at the observatory.