Shared mailboxes in Outlook work almost exactly the same as your regular mailbox, with the only significant difference being multiple people can access it.
This guide applies to the Outlook desktop app for Windows.
Accessing the Shared Mailbox
To access your shared mailboxes in the Outlook app, look at the bottom of the folder pane. Any shared mailboxes should automatically appear there if you're part of a shared mailbox. If they don't appear automatically, you may need to close and re-open Outlook for them to appear. Shared mailboxes won't display the domain (@cune.edu), while your personal mailboxes will.
Using the Mailbox
To use the mailbox, expand it by clicking on the arrow next to it. You can read email, add folders and organize the mailbox just like your own mailbox. Any changes you make are shared with all users of the shared mailbox, so communicate with your team on how to organize it! This includes email being marked as read or unread.
Sending from the Shared Mailbox Address
You can also send on behalf of this email address. To do so, open a new email. If the "From" field isn't showing above the "To" field, go to the Options tab, and in the Show Fields group, make sure "From" is selected.
Once the From field is showing, select it and click on Other Email Address...
Click on "From..." to bring up the address list. Find your shared mailbox in the list and click OK, then OK again. Now, back in the new email, click the From field and select your shared mailbox address to send from that address!
Note: New email will still use your personal email address by default, so be sure to change it each time you want to send from a shared mailbox address.
For more information on using shared mailboxes, here are links to Microsoft's articles on the subject: