Exporting and reading PST files is only available in desktop versions of Outlook on a Windows PC. Similar functionality is available for Outlook installed on Apple (macOS) devices, however the export format is an OLM file. PST and OLM files cannot be used with the web version of Outlook.
While you are a member of the University you can install Outlook by logging in at https://www.office.com/ and choosing Install Office.
After you have left the University you can purchase Outlook from the Microsoft store. There are also a number of third-party tools that can view and convert PST files, however you will need to satisfy yourself that these are secure, bona fide solutions before using them.