This file is a harmful and undesirable program. Probably virus. It's recommended to delete it.
What is GOG.exe Windows startup process
File name: GOG.exe
Program name: GOG
Description: PHILIS.B VIRUS
Information added by: spalensky at 04 October 2008
Hint: If gog.exe file is a virus or trojan, we recommend to use a antivirus software or registry cleaner.