He said it doesn't bother him when he's on his laptop. So the difference in the two types of monitors is the problem, whether it's a setting or backlighting or something else.
But he also said he was connecting his laptop to the questionable monitor, and it was fine then. So assuming he's been using the laptop/monitor in the same room, that rules out a bad monitor, bad lighting, etc.
If that's the case, it has something to do with the desktop computer itself. Maybe its something simple like the wrong resolution or refresh rate (should be set to 60, but maybe try 70/75 just to see) is set on the desktop? I'd also check Power Settings in control panel and set it to Performance.