Hi Camie - Lucidchart has been integrated with Google Apps for several years. :-) Check out this article to integrate with your Google Apps domain.
As a side note, we also have integrations with Google Drive, Google Docs, and Google Sheets. The Google Drive option can be found when you log into your Lucidchart account and go to Account Settings > Google Drive. There, you can sync your Lucidchart diagrams to Drive, so you can view, edit, and create directly from Drive. The Google Docs and Sheets add-ons are accessed from the add-on menu in a document or sheet and also allow you to easily create, edit, and insert diagrams into your Google Docs and Sheets.
Hope that helps!