If you are disabled from working, you do not qualify for unemployment. You can continue to apply for disability through your employer's coverage, or through SDI. You can apply for unemployment, but you would indicate on your Continued Claim Form, DE 4581, the weeks when you are disabled from working.
If you stop looking for work, you won't be reporting a job search to the EDD on your Continued Claim Form and your benefits will stop.Quoting sunshine21

