Outlook on the web has improved, but there are still some things that it doesn't do.  This link shows in a chart what they each do.  If you want actual Outlook there are trial versions on \freenas -- you might also be able to find a newer version to download as part of MS Office trial.   Microsoft is moving towards Office 365 - so you might be able to get a free trial there as well.  You will need to create a client computer on hyper-V on the shared Win 10 machine in class, join it to the domain.   One big difference is the non web version has access to .pst files.

https://support.office.com/en-us/article/compare-outlook-for-pc-outlook-on-the-web-and-outlook-for-ios-android-b26a7bf5-0ac7-48ba-97af-984e0645dde5