In my state, which I grant is not California, just about every word Banned Princess said would be wrong.
Your UI claim lasts for one year. It will not be recalculated during that year, regardless of what you do or do not earn during that time. When that claim expired, a new claim can be filed if you worked long enough during the look-back period for the SECOND claim.
Unless CA is very different from my state, taking a temporary job can make your benefits last longer. You don't claim UI (or you claim a lesser amount) during the weeks that you work, which means that you don't run out of funds as fast, and meanwhile you are building wages for a new claim when the old one expired.
What's more, at least in my state, taking temp jobs gives you credibilty with the UI office when you claim that you really are looking for work.
Two things I am tired of typing: 1.) A wrongful termination does not mean that you were fired for something you didn't do; it means that you were fired for a reason prohibited by law. 2.) The above answer, whatever it is, assumes that no legally binding contract or CBA expressly says otherwise. If it does, the terms of the contract apply.