The plans were allegedly revealed accidentally after a blogger spotted notes in a slideshow presentation wrongly published on Google's site.
The GDrive, previously the subject of chatroom rumour, would offer a mirror of users' hard drives, Reuters said.
Google declined to comment on the reports but said the slide notes had now been deleted.
In the notes, chief executive Eric Schmidt reportedly said Google's aim was to "store 100%" of users' information.
The notes said: "With infinite storage, we can house all user files, including e-mails, web history, pictures, bookmarks, etc; and make it accessible from anywhere (any device, any platform, etc)."
