Uh, in your Sig it says that you don't know how to battle online...
If you want to listen, then, um...
There are wo ways to go through this.
1. You talk to the right attendant in a Pokémon Center, and select Battle/Match (or something similar).
Then in Gen V, you can also select Random Matchup, where you battle against random people.
2. The far better method, you exchange Friend Codes (found in your Pal Pad) and you arange a time with the person you swapped afriend Codes with, and you both talk to the middle attendant in the Pokémon Center.
There, you will enter the Union Club.
Once you see another chaacter drop down, you can talk to him/her and do one of the following thins:
Battle
Trade
Draw
Exchange Records
Show eachother your Trainer Card
Spin Eggs (a minigame where both of you enter an egg and you randomly get one)
And then just wait for the other person to say yes
Oh, and, hi!
Welcome to SPPF.
Hope you have a great time here.
If you need help or whatever just ask