Like you, Google gave me nothing on GSvr.exe; neither, oddly, did it produce a hit at the Gigabyte site. However, it
might be Gigabyte's Dynamic Energy Saver? How big is your GSvr.exe? This "feature", tool or whatever you want to call it comes in a variety of sizes: 7.85MB, 3.6MB or 5.41MB dependent upon which version you have. You'd think a tool like that wouldn't be all over the place in terms of size?
GIGABYTE - Support - Motherboard - Utility
Anyway, that's my best guess.