Yes. California applies a strict-liability standard to dog bites, which means a dog owner can be held responsible for a bite even if the dog had never bitten anyone before and the owner did nothing careless — as long as you were lawfully where the bite happened, whether in public or lawfully on private property.
That makes California dog bite claims more straightforward than in states that require proving the owner knew the dog was dangerous. You generally do not have to show a prior bite or the owner's knowledge — the fact of the bite and your lawful presence are the core of it.
Strict liability is not unlimited, though. Defenses like genuine provocation or trespassing can still come up, and California's pure comparative fault can reduce a recovery if the injured person shares some blame. But the starting point strongly favors the person who was bitten.