I'd be happy to welcome you here at the forum, @AFSLB. Thank you for joining our growing community. Allow me to impart some thoughts to help clear some confusion.
While QuickBooks Desktop is an accounting program that is installed locally and has a yearly subscription price structure, QuickBooks Online is an accounting application that is hosted online under the software as a service" concept.
Naturally, when you take over from someone else at a non-profit and they are unavailable to show you anything they did in the past. Both are separate platforms.
You may utilize this article to learn some of the differences between the two versions: QuickBooks Online vs. Desktop.
You can visit this article to know how to get the most out of your financial reports: Customize reports in QuickBooks Online.
Feel free to reply to this post if you need further assistance. Have a great day ahead!