UCSB now offers both Box and Google Drive cloud storage; unlimited storage!
To access Google Drive, just login with your UCSBnetID@ucsb.edu ; to access Box, login with your UCSBnetID and password.
UCSB has contracts with both Google (Drive), and Box for cloud storage. Both services offer unlimited storage. These contracts started in 2014 and 2015.
In 2014, Google changed their policy for Google Apps for Education (which UCSB has) to provide unlimited storage for each user. In the past, the institution was limited to some number of terabytes and the Universities would have to apply quotas on the accounts. Due to competition, BOX also changed their policy to provide unlimited storage for Education customers.
Documentation links -
Box - getting started video guide (this is worth the time!)