It depends on how you add Google Drive documents on Elium:
Via a massive import on the platform, no there is no synchronization between the two.
By adding a single Google Drive file from the contribution area, there is no synchronization between the two.
By displaying a Google Drive folder to the content body, yes, the documents are synchronized between Elium and Google Drive because the documents remain on Google Drive and are simply "displayed on Elium as folders.