If you want to track users you would need a SCORM-conformant Learning Management System in order to be able to use the out-of-the-box tracking methods available in Adapt.

Other methods of tracking users are possible but all require customisation of Adapt.

User/course management is the responsibility of whatever hosts your course content.

I'm guessing you mean Google Drive rather than Google Docs. I have never tried running an Adapt course from Google Drive so I have no idea whether that would even work but certainly it would provide no mechanism for tracking users. You'd be better off looking at something like SCORM Cloud as an interim option.