Board Game Arena

I've heard great things about the game, but never played it.
I read the rules on here, but they don't make a ton of sense and I learn best by playing games.
Is there any way to set up a "tutorial" game or maybe have a few players teach me the game (i.e. not have it be timed)?

If you just read the abbreviated rules on BGA, definitely download the full rules PDF to get more familiar with things. It includes play examples and fuller explanations of the action cards. You could also observe a couple games in progress until the interface becomes familiar.

But if you want to just jump in, you can set up a new game and specify no time limit under game speed, then enter in the game description that you are a new player looking for a tutoring game. When another player joins the table, use the "Discuss at this table" chat box to confirm that they know you might play slower and need some help. If they're OK with that, then have fun!