At least in Washington State, unemployment payout is almost immediate, within two weeks of losing your job. You can use the time before it runs out to apply for other federal or state assistance programs. These may take longer and have more complex qualifications.
> You can use the time before it runs out to apply for other federal or state assistance programs.
Which if you are a non-disabled, employable (whether or not employed) adult without dependents, in most parts of the US, are extremely limited, quantitatively and, often, temporally, as well.
My only first hand experience is with Washington. When I was furloughed in 2008 it was relatively easy and pain free to receive benefits, at least by government standards. My room mate at the time was only able to find part time work in retail at the end of unemployment and was easily able to obtain supplemental food assistance from the state. I won't argue the rules and regulations are a complex mess. For example, I would think it would be easy and in the governments best interest to try and transition people from the unemployment program into school/university programs, but that is near impossible with the way the regulations are written.
Different states have different time frames and may have conditions on those.
I was laid off a while back. Because I got a severance package comparable to 1.5 months salary, I couldn't get unemployment assistance for 1.5 months plus 4 weeks - even then I had to document that I had applied to a minimum of 3 jobs a week from the day I was laid off.