Legal Question in Administrative Law in California

Re: minium hours required to work for health benefits

In general, this depends not upon state law but upon the employer's policy and, perhaps even more, the policy of the employer's health insurance company.

There are certain rights, of course, which any employee has, under state law, but as I read your question this is an employer or insurer policy issue and not an issue of statute or regulation.

I suggest you ask your employer's benefits manager for details.