Complex sentence: Tarlać was selected by the Chicago Bulls in the 1995 NBA Draft so he left Greece in the summer of 2000 and took off for the United States to play for the Chicago Bulls.
Split into simpler sentences: Tarlać was selected by the the NBA club the Chicago Bulls in the 1995 NBA Draft. He finally left Greece to go play in the NBA in the summer of 2000, when he took off for the United States to play with the Chicago Bulls.