Agreeing with
@Mtop.
HP tends to refer to "Print Jobs" and "queue" not so much.
The manual is indeed lengthy. At least download and save a copy of the M507's manual on the teacher's computer. Place a Desktop shortcut link to the .pdf file to make the manual easily accessible. Likely to come in handy.
As for the queue/printouts...
Again on the teacher's computer enter "Printers and scanners" into the "Type here to search box".
The M507 printer should be listed.
Click the printer.
The click Open queue.
A window should appear showing
Document Name
Status
Owner
Pages
Size
Submitted
Port
Note: "Submitted can be sorted in ascending or descending order".
Leave the window open or minimize as necessary. A second monitor can make it easy to observe incoming print jobs.