That could be done. If you were to make the pepakura moniter and change the eye to a blue lens then you could fasten it onto a lamp like that. I have one of those swiveling lamps so I may look into this project. The problem though is that those lamps can get very hot if left on for a while, at last mine does. Good idea though.
The monitor is a small enough project. You could probably make it out of sheet metal like most lamps like that already are. Then heat wouldn't really be a problem unless you touched the casing around the light bulb. Ouch!