I haven't tried it with Google Drive but should work the same as any other backup. 

I doubt that you'll be able to copy the entire program from Goggle Drive to a new computer. If  it works, fine... If not, I'd probably download and install a complete copy of the  program onto the new computer from your intuit account.  Then copy only the data files from your google drive and run home maintenance.

I'd try it with one or two data files first to see if it works. .