First, don't double post. You'll get on people's nerves that way.
Second, front ends, as well as any other program, will be in the same state that you hibernated in. If the computer went into hibernation with the front end running, it will resume that way.
Third, I would imagine the same would go for the second monitor. If the computer is cloning the desktop when going into hibernation, it will probably be that way when it comes back.