Do great white shark males have to compete with other reproduce?

No. Male great white sharks do not have to compete with each other to reproduce as they practice a reproductive behavior known as "sneaker mating." In sneaker mating, males attempt to fertilize eggs that have been deposited by a female without engaging in courtship or direct competition with other males. When a female great white shark releases her eggs, multiple males may be present, and they may attempt to sneak past the dominant male or use their bodies to block other males from reaching the eggs. This behavior ensures that multiple males have the chance to fertilize the eggs, increasing the genetic diversity of the population.