Is there a way to get the games to synch between computers? I've got GOG on my laptop and desktop, but the character doesn't transfer from my laptop to my desktop. Is it just not part of the game yet, or am I missing a setting somewhere?

There's no sync or cloud saving for Diablo.

GOG said here that they do have not have plans to implement it due to technical difficulties.

Not the answer I was hoping for, but thanks for pointing me to that thread.