Are you leaving the University? Are you graduating or taking an extended leave of absence? Your access to some University resources will expire with your departure. This article shows you how to migrate your data to a safe place.
If you have a personal Gmail account, you can use Google Apps @ Illinois, Exporting Data Using Google Takeout to export data from your Google Apps account to the personal account.
If you want to simply download a copy of your files, see Google Apps @ Illinois, Cloud Storage, Downloading your files.
If eligible, see Email, How to set up email forwarding.
See Webstore, Accessing after leaving the University.