Review the exit package you were given. Before you sign any exit papers, decide if you want to negotiate a higher severance. It's never guaranteed they will change what they are offering, and getting a lawyer involved can be pricey expensive. But if you believe it's worth negotiating, look into getting free legal advice through local city agencies that specialize in employment.
Next, look into temporary healthcare options, such as COBRA or a plan on the ACA, since your health insurance will be terminated until you find a new job.
Decide if you want to apply for unemployment once your severance package ends. If you do, meet with the unemployment agency in your city to find out how to qualify and what you'll need to do while you receive unemployment. Spoiler alert: You can't get unemployment and just use the cash to backpack around Southeast Asia. They have lots of checks and balances in place to make sure you're actively searching for a job while claiming benefits.