Does anti-glare desktop helps relax the eyes (better than the usual screen)?

For some, yes: If you find you are in an environment with other bright lights that reflect off your screen, then an antiglare shield on your desktop computer monitor can cut down the strong reflections, which can reduce squinting and reduce the muscle tension in your face.

Anti-glare: Yes! ask your eye doctor to write a letter if you need an anti-glare screen at work.