Just looked it up and your system does seem to have the F11 option (if it works is a different matter)
Info here:- http://support.gateway.com/s/Manuals...ps/8510406.pdf
To restore system software from the hard drive backup copy:
Restart the computer, then press F11 when prompted to start the
restore process. The System Recovery program starts. You have
three seconds to press F11 before Windows starts.
Click a system restore option. For more information, see
“Restoration options” on page 5.
Non-Destructive System Restore (Recommended)
Full System Restore (Destructive)
Full System Restore (with Backup) (Advanced Option)
Follow the on-screen instructions to complete the system
software restoration process.