Q. Do we have full access to lynda.com?

Yes, GC does have the access you want. You should go to Unify and log in first, then go to Lynda via the link on the main Unify page you go to after login. From there, you should be able to create/view playlists. For others to see/play your playlist, you would need to either share it directly with the person(s) or make it public, which you can do when you're viewing your playlist.