No, the C-33 is a California license issued by the CSLB. It has no bearing outside California.
Google doesn't mandate a C-33 nationally. What it requires is whatever your state considers the appropriate contractor credential for painting work. That could be a state contractor license, a home improvement license, a county permit, or in states with no painting-specific requirement, just a registered business document. The C-33 only comes into play if your business is based in or operating in California.