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oh.. cool, I was about to go to bed but let's have another game

Didn't totally understand it all. Will pick it up as I watch. From my understanding you have to surround your opponent to take his stones.

Yep, that's the gist of it. But you also – and this I think is much more important – need to surround territory, which will also count as points in the end. Any opponent stones (that is groups that aren't alive) that will get caught up inside your territory wll be captured. Each captive stone will count as an additional point.