Yes, you can use Acrolinx with Google Docs, Google Sheets, or Chrome.
There are 2 ways of deploying Acrolinx for Google Docs and Google Sheets.
G Suite Admins use the add-ons in the marketplace for a 'Domain-Wide Installation' i.e. an entire organization or groups within an organization. The Google add-ons for Docs and Sheets are available in the G Suite Marketplace.
* Google will be deprecating the Chrome Web Store in March 2019. You'll need to launch the Acrolinx add-on from the G Suite Marketplace.
Acrolinx is also available as a Chrome Browser extension. You can add the extension to your browser from the Acrolinx for Chrome page in the Chrome Web Store.