The dealer deals two cards to each player, one at a time. He then asks each player, in rotation and beginning with eldest hand (to his left), whether he wants to 'stand' or choose another card. In the latter case, the dealer gives him the top card from the pack.
If you hold two cards that are the same number in your hand, like two eights or two sixes, you can split them apart and play each one like two separate hands instead of one. Once you split your two cards into two hands, you'll place your original bet with one hand and place an equal bet on the second, split hand.