I'm not sure about interns, but I have used the Cal Work Study program. I had grad students taking on projects related to their major. The min pay was $12.50, (that was 5-7 years ago), and you received a grant of up to $4000 back a semester.
But I would do my research, fines for labor law infringements are steep. Go to https://www.dir.ca.gov/. Ca Dept of Labor Relations can give you the definitive answer.