If you're getting eye strain go to an optician.
Most screens come supplied as "buy me I'm brighter and my colours are more vivid than the screen next to me in the shop" settings. It applies to LCD & CRT monitors, but the really bad ones are tvs. The result is many out of the box screens on standard settings have poor colour reproduction.
The proper way would be to buy / beg / steal / borrow a proper calibration device that measures the screen and runs some super software to fix your screen at the press of a button, or two.
One day I'll afford that, however you can get pretty close without spending big money
If your mionitor came with a disk it may be worth looking to see if it's got calibration software with it, or downloadable from their support. Video cards sometimes have calibration facuilities in their drivers too (nvidia)
The calibration devices and calibration software generally produce a tweaked custom ICC file, but your starting point is to ensure that you have loaded the correct stock ICC colour (remember everything is in american english so "color") profile for your monitor model onto your system and have it enabled on the operating system and in your photo editing software.
You then need to adjust the display. I'll make a wild guess and assume you've got an LCD monitor and some flavour of Vista.
First make sure your display drivers are correct (it should quote correct make and model number of the monitor on the display settings popup). Worth doing a driver update check as well.
Make sure that the resolution is on its max setting. LCD monitors work best in their native setting, anything else is going to be fudging the display control to produce the resolution selected.
In advanced settings on the monitor tab look at the screen refresh rate. Make sure that it is on the maximum valid setting available (do not untick the "hide modes that this monitor cannot display" box or you'll cause big trouble)
Then you need to set brightness properly, and its time for me to point you at this link:
http://www.normankoren.com/makingfineprints1A.html
worth a good read but awfully heavy going. Halfway down is the important bit: "Gamma and black level chart" with some wierd stripy lines on the page. That basically is the core of the calibration, and in an ideal world is done separately for red green and blue.
go have a good read
also particularly useful is this page:
http://www.normankoren.com/makingfineprints1B.html#Gamma_3color
which has the 3 colour gamma setting patterns on it
a quick and simple means of brightness and contrast levels check is the test pattern at the bottom of this page :
http://www.dpreview.com/reviews/canoneos500d/ its a band of grey shades labelled A to Z