“Can my daughter get car insurance on a car that is in my name in California?”
Your daughter can certainly get insurance on your vehicle. If she gets full coverage, then you would be the beneficiary of any proceeds from the claim since you own the car. Otherwise, her permissive use of your vehicle constitutes an insurable interest, which gives her the right to take an insurance policy out on your property. If you have specific questions about how your daughters insurance coverage on your vehicle works, you should contact your insurance company (as well as the insurance company your daughter intends to use) to learn about any specific policy limitations or rules that apply.