Firstly, there's the Refugee Cash Assistance (RCA) program: https://www.sccgov.org/sites/ssa/debs/calworks/Pages/refugee...
Here are some other California refugee programs: http://www.dss.cahwnet.gov/refugeeprogram/
List of other refugee programs:
Next, food aid (food stamps) is called CalFresh (req 5 yrs of residency for noncitizens)
After that, there's MediCal (state-run health insurance available at the county social services agency) (unsure of requirements)
Lastly, General Assistance (emergency cash, a pittance) (only 15 days of residency is required). You can sign up for it at a local social services agency office.
Here's the main website for Santa Clara county: https://www.sccgov.org/sites/ssa
(Beware of name clash: federal Social Security is also called SSA. I hear any sort of Social Security benefits usually takes a very long time and lots of paperwork to get.)
GA policies: https://www.sccgov.org/ssa/general/gachap06.pdf
Other California counties' websites are listed here: http://www.counties.org/