On top of all the old Google Docs functionality, Google Drive is really just a simple file storage platform. Like Dropbox, it automatically syncs with the cloud, so that everything is consistent across all of your devices. Also, it lets you share (add collaborators to) any kind of file, including music, images, and videos. Altogether, it is a fantastic option for storing, syncing, sharing, and collaborating.
From Google Drive's main dashboard, a quick tap on the menu lets you quickly sort and filter files so you can find exactly what you're looking for, even if your Drive is filled to the brim with files. You can filter by file type or document type, and sort by modify date. What's nice is, you can also move files around within your drive, in case you want to do some housekeeping.
Google Drive's sharing features are also impressive. The app lets you send a file straight away or send a link to download a file, all using Android's share menu. Previously, competitor Dropbox had the upper hand in this department, but Google's service has certainly caught up.
One thing I think the Google Drive app needs is a password-protect feature. As it is now, anyone with your device can easily fire up the app and tap into your private files. Dropbox currently offers this, and it would be nice to see Google come loaded with the extra security as well.
Regardless of its (few) shortcomings, I still highly recommend downloading the Google Drive app for Android. It nicely integrates (almost) all of the Docs functionality, plus it gives you the extra power to access and share other types of files.