Google has announced that Drive's Quick Access feature will soon be available on the service's Web client. The feature in question is currently only available on Android and iOS.
Quick Access, for those who aren't aware, uses machine learning to intelligently predict the files you may need. Predictions are based on things like "who specific files are frequently shared with," "when relevant meetings occur," and "what files are used at specific times of the day."
The feature's launch is scheduled for June 13th.
Kicked in this morning, doesn't appear to be a way to turn off Quick Access, wish there was!