(I am in the same position, working in not-CA for an employer HQ'd in CA.)
> How do you get health insurance?
Through my employer, like many employees.
> Does your company have an office in your state?
Yes, though I've not seen the inside of it with my eyes since March.
> If not, do they give you Californi-based coverage, with most providers being out-of-network?
While your question was conditional on the office, no, the CA-specific health plans are only available for CA employees. Non-CA employees have a different set of options. (Sadly: I was rather fond of Kaiser.)