First of all, when you have onboard video, you don't call it a video card. It's a chipset on the motherboard.
Now, assuming the rest of your PC is booting properly, I suggest trying out this monitor on another PC to see if it's the monitor that's causing the problems. If you don't have another PC, take it to a friend's house or similar.
If it's not the monitor, I'll let the more knowledgable techies help you from there.