No, the law at issue (as stated in the document mischaracterized upthread) restricts only “private postsecondary education”.
The applicable definition of “postsecondary education” is at Cal.Ed.Code § 94857:
“Postsecondary education” means a formal institutional educational program whose curriculum is designed primarily for students who have completed or terminated their secondary education or are beyond the compulsory age of secondary education, including programs whose purpose is academic, vocational, or continuing professional education.
https://codes.findlaw.com/ca/education-code/edc-sect-94857.h...
Private tutoring is not within it's scope (private tutoring at the elementary/secondary level that is used as an alternative to mandatory schooling or parent howmschooling is regulated in CA by a different law, but that's only when it is taking the place of mandatory schooling, not supplementing it or serving unrelated functions.)