The New York State Department of Labor devotes an entire section of its web site to "Unemployment Assistance" HERE. Information is available in ten languages in addition to English. Broad categories include General Unemployment Information, Claims and Eligibility Deadlines, and Information for Employers.
For those recently unemployed, the FAQ called "Before You Apply For Unemployment" is available HERE and a video "How to File an Unemployment Insurance Claim" can be viewed HERE.
The "Looking For a Job" section of the web site HERE provides links to information about finding employment, including assistance available from the Department of Labor.