If neither player wants it, the non-dealer player would draw from the deck to start the game.
If they do not want it, play passes to the other player and they can choose to take the card from the discard pile. The dealer then discards the top card of the deck to start the discard pile. Shuffle and deal each player 10 cards, one card at a time.
In Gin Rummy, the goal is to create runs and sets with your hand of ten cards.