For an engine to run, you need 3 things: Fuel, Compression, & Ignition.
Check for ignition first, as it is the most common cause of a no-start condition. To check for spark, remove a spark plug, connect it to the wire, and have the bottom of the plug touching metal (preferably the engine head, somewhere dark). Have a friend try to crank the car, and look for a spark. If you have spark, proceed ahead.
Next, check for fuel. To check for fuel, you'll need a fuel pressure checker. You can rent one of these from most Autozones and other auto parts stores. Grab a Haynes manual while you are there, as you will need specific directions on how to check the fuel pressure, as well as the correct pressure specifications.
If you have fuel pressure, the last thing to check would be compression. You'll need a compression checker for this, and you can sometimes find these at most auto parts stores (though most do not rent them). You'll need to screw the end of the checker into the spark plug hole and crank the engine.
My suggestion would be to get a shop manual (I recommend Haynes) or take the car to a reputable shop and have them check it out for you.