Is information required for an Unemployment application exempt from NDAs? I signed one when I was hired, agreeing not to discuss my employer (a celebrity, hence the NDA), employment, separation, etc. but does that mean I can't explain the circumstances of my firing to the Unemployment office? I wasn't fired for something that should prevent me from receiving Unemployment, and the circumstances of my firing don't reflect negatively on the celebrity or the company.
Google for free/low cost legal help in your county in California and get a lawyer to read the NDA and advise you on what you can/can't say. There could be an exception already in the NDA. See California Bar - Free Legal Help. If not, they may need to contact the legal representatives of your past employer to amend the NDA so you can give the unemployment office what they need to know.