Too late for you, but for others reading in preparation ... In general, you want to get these functional questions answered as part of the sale process. Dealership or private sale should both be able to perform a full and detailed walk through, including how appliances work. I probably spent close to 2 hours walking my buyer through all the features of my trailer I sold him. It also forces the seller to prove that the components are in working condition.
From there, RogerR's advice is solid. If you don't have manuals, go download electronic versions. Fridge, furnace, and water heater are the most important to have, as these are the appliances that you'll be using and repairing most frequently. These are all RV-independent. That is, you don't even need to know your trailer brand or model to know that your water heater is either manufactured by Suburban or Atwood, for example. But you can get the model information off of the appliances and then find the manuals.
Know where your fuse box is and also know where any additional fuses might be. For example, I had a power slide out on my last trailer that blew a fuse. The fuse at the fuse box (breaker box) was fine, but there was an inline fuse near the hitch/battery area that had blown. I actually didn't know this existed, but was lucky enough to be camping where there was internet connection ... so, I was able to look online and solve my problem. Had I been camping in BFE, I might have had a different story. Better to get out in front of these things and know where your fuses are ... all of them!
80% of what you need is the same as what you needed when you tent camped. So, you'll have a running start. The best step is to manufacture a camping trip close to home to wring out the details ... or do a camp driveway. This will help you get your head around needing linens, toilet paper holder, an interior garbage can, and even understand how to start using all of the interior cabinets and storage.
Brake controller is likely to be legally mandated, depending on where you live. Even if it's not, you want it. It's about $100 and will last pretty much forever. I'd strongly recommend a WDH with integrated sway control. I'm partial to Equal-i-zer 4 point, but there are many good systems out there. Expect to drop around $500 - $700 on this.
You'll need a way to level the trailer ... not something you had to do with a tent. You can get as sophisticated as you like. I preferred
Anderson Levelers. I actually had to get the
shorter Camco version, but the system was the same. Made leveling the trailer super easy, barely an inconvenience. Anyway, from wood planks to automated systems, you'll need something. Oh, and while I preferred using a 4' level, I usually forgot it ... so, have a level app on your phone.
Eventually, you can start thinking about enhancements to the camping. Tables and furniture. Stabilization devices to reduce bounce. Foam toppers and such to make beds more comfortable. And, so on. But, these are next level items that you can gradually move into.