If your shot has no camera movement it will be easy.
Add an Adjustment layer above your footage and mask the layer to match the monitor frame (or the area you wish to color correct). Then apply the color correction as you normally would (curves, hue saturation, exposure or Color Finesse etc).
If there is camera movement you’ll need to track the shot first, ideally using Mocha, if you have AE CS4 or above it shipped with it.