Is there a way to mount Google Docs like a drive on the Mac?

You can achieve this with google-docs-fs in concert with MacFUSE.

For more information, refer to the Online Manual for google-docs-fs which lists all the prerequisites needed for installation and has installation instructions for Mac OS X.

Google Docs was rebranded Google Drive and a local folder can be created that will have its contents uploaded/on-sync.

As Lake pointed on the comments, while this is not exactly "mounting as Mac OS Drive" it may help.

The software you need can be downloaded from http://drive.google.com/

You can install Google's Google Drive app

This is also available on homebrew:

brew cask install google-drive