I enter the game via Gta Connected a few seconds later the game's music plays and the game gets stuck on the login screen PLS HELP ME
GTA Connected doesn't play music or have a login screen, so this isn't a GTAC bug.
Some servers might have this scripted.
Are you by any chance exiting the game window during this time or doing things on another monitor ( if you have one ) ?
I found that doing other stuff than having the game focused may create problems such as yours.