Using Microsoft Office documents in Google Drive is possible, but can be tricky.
It is certainly easier to just work on joint documents in G drive if they are G docs and work on joint Microsoft documents on a network drive. Some notes on what happens when you do that:
If you try to share a Word document on Google, you can, but if someone opens it, the default is in Google docs and it will make a new copy as a Google Doc and people then can get confused on which is the latest version.
You can get a Chrome browser add on, that allows you to edit the Word document and it will stay a Word document. But, you can't have two people edit that document. Google says: To edit Microsoft Office files with others, you'll need to convert them to Google Docs, Sheets, or Slides.
Documents on the K drive are backed up by IT nightly and kept for 2 weeks
Documents on Google drive that are deleted are kept in Google's trashcan until you permanently delete them.
So again I would say it is easier and better to just work on joint documents in G drive if they are G docs and work on joint Microsoft documents on a network drive.
But if you want to try working with Office docs on Google drive here are some links: