OK, SO you haven't installed any new hardware (this includes a new printer or external device plugged into a USB or other COM port) and haven't installed any new device drivers. OK.
Yes, to reload drivers you'd need your monitor to be working.
And from what you can tell it sounds like the computer is booting up normally, you just can't see anything on the monitor. It's likely one of two things:
-- The monitor or Monitor cable is bad. Do you have another Monitor you can test with? Also, just to make sure, do you have more than one video card in your system? Perhaps an onboard video card that the system my be defaulting to instead?
-- It's possible that the video card is bad. This is less likely as it would have to be specifically the port that the cord plugs into on the card. These don't go out very often without the whole card being hosed. And if the card is bad, your machine would be beeping when you try and boot up.
One other thing could be going on. It's possible that, while it sounds like the machine is booting normally, it actually isn't. It may be having problems before it even reaches POST and starts showing stuff on your screen. Normally when this happens you'll get a series of beeps that you don't normally get. The number and sequence of the beeps usually tells you what the problem is. How computer savy are you? Are you comfortable repseating parts in your computer?
If so, you may want to shut it down, unplug it, and try re-seating the memory and video card.....that means simply pulling them out of their slot and putting them back in.
Good Luck...let me know what you find out!