Benefits you get in many ways depend on the state and federal law and on the reasons you were dismissed. Besides, no matter why the company decided to end the contract, try to leave in a polite and decent way. Not only because it may affect your future career, but also because it may influence the compensation you get from the company. Before you leave, you can ask for severance pay, vacation payments, overtime (if it took place), and sick pay.
You can also check if your insurance will be still in effect when you leave and if you are eligible for unemployment insurance.