The most commonly-played CCG here is Magic: The Gathering, and the Magic mostly happens at socials (usually in the form of big, many-playered matches, I believe) and Friday Night in Wentworth (where - last I knew - they play for boosters and alternate between Standard tournaments and drafts from week to week). Seasoned player or someone who doesn't have a clue what I mean by the content of that last bracket, all are welcome to turn up (and be taught the ropes by a friendly existing player if needed).
Looking for players of a different CCG? Ask around - at socials or on the forums - there are quite possibly fellow players who'd be happy to play a few matches of a different game.