The Great Seal of the State of California was first adopted in 1849, at the California State Constitutional Convention. It's undergone some minor changes over the years, but remains very similar to its original design.
The seal features the Roman goddess Minerva, the goddess of wisdom and war, a likely combination. The California Grizzly Bear at her feet is feeding on grape vines, although it would probably much prefer human flesh (just kidding!). The miner represents the California Gold Rush, the event which catapulted California to a quick Statehood. "Eureka," meaning "I have found it," is the California State Motto and refers to finding gold or maybe just finding one's way to the great state of California.