|Are you impatient or what ?|
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Your computer CANNOT go into sleep mode (Standby or Hibernate mode) when you first start it up.
If you have the monitor connected to a video port that definitely is supposed to produce video, and if there is nothing wrong with the monitor (usually there's nothing wrong with it), usually when you have no video there is nothing wrong with your video adapter either - something else is wrong.
Describe your other symptoms.
Are the power and hard drive activity leds lighting up ?
Do you hear the usual one short beep while booting, or a pattern of beeps, or no beeps at all ?
Do you hear fans and hard drives spinning ?