I know nothing about CFP, except for what I just learned from Bob C in his post above, that they only cover fire.
California Fair Plan (CFP) is the insurer of last resort. If you can't get anything else, they will give you insurance (and keep your mortgage company happy).
They normally cover Fire, Internal Explosion and Smoke. Optionally, they can cover vandalism and malicious mischief.
They don't cover things like general liability (if someone trespasses and gets hurt), water damage or flooding. You get a "DIC" policy from another insurer, like Farmers to cover that.
They don't cover Earthquakes. They push really hard for Earthquake insurance, and as a California native who grew up near the end of the Newport-Inglewood fault, that doesn't worry me.
Never hurts to ask your agent, but CFP is usually not the cheapest option.