All players play with the cards in their hands face up on the table.
Whenever any player draws a card, any other player may pay 2 life to force the drawing player to discard that card. Effects that prevent or redirect damage cannot be used to counter this loss of life. This is a triggered ability that goes off when a draw effect resolves. You get the chance use the Zur's effect at each of these chances. If they still have the card in their hand, then they discard.