Have you let your computer just sit there running for a few minutes? It might just need to memory train.
Do you get any error codes or beeps from the motherboard?
Does your CPU have onboard graphics you could try?
Make sure the monitor is on the correct input, even though they should auto switch it doesn't hurt to check.
If you can't hear anything does your motherboard have a display? Did it come with a little speaker? Look in your motherboards manual for the best way to get error signals.
Did you give your computer at least 5 min powered on though?