Okey, to get yer xbox to connect to live, you either need a wireless adapter, or just plug in an internet cable in the back of the console, buy yourself a month gold on the xbox, "wich will give you automaticly new gold every month for a pretty decent fee"
or buy yourself 3 months gold at the game store. (3 months is the shortest time you can buy gold for in the stores)
Or you just buy yourself a xbox slim and it will connect to your internet as soon you plugged it in ;)
wont need any adapter or cable.
But as said, need gold.