Thanks, but I don’t think it will be secure from Google’s prying eyes.
Have you seen my tin foil?
None of the session data goes through Google, they are used for credentials. It is a straight datapipe from your computer to the target computer.
That said, RealVNC is $30 per server (machine you want to access remotely), they've a demo version you can use to try it out. TightVNC is free, but more complicated to get running.
After trying a lot, I settled on gbridge as I wanted something small, quick, and would just plain work.