If you mean "how do I use Dropbox to do exactly that", I share encrypted files with coworkers so that they are automatically replicated when connectivity is available. This addresses both the security-of-content perspective and the fact that even in the best of circumstances we will find necessity for offline access.

If the GDrive were similar to Dropbox, a copy of all files would be stored locally and be accessible without an Internet connection.

Google Docs offline access isn't even going to relaunch till later this year, so right now, storing files exclusively in Docs is a non-starter without an always-on Internet connection.