For trading and battling, you should definitely check out those sections that Sheep pointed out, haha. I'm sure you'll enjoy hanging around those places quite a bit.
Aside from XY and GSC, you haven't played any other game? When you get the chance, you should definitely give others a try; they're all equally as great. If you wish to follow the timeline, then I'd recommend starting off with FireRed version, leading to HeartGold and SoulSilver, and eventually RSE, DPPt, BW, and BW2. If you're not too concerned about that, then I'd say you should probably consider giving Emerald a try. It's fantastic, if you ask me!
Anyway, welcome to PC, Wendin! I hope you have an enjoyable stay here, and if you ever need any help, I'm here to assist; send me a message any time.