Hunting is something that carnivorous animals, including people, do to get food.
Hunting animals have developed many adaptations in order to be successful hunters. They have developed camouflage so they can lie in wait for their prey and then ambush and pounce on it. Foxes and chameleons are examples of this. Some animals have developed amazing speed so they can catch up on their prey. Cheetahs are an example of this.
The difference between animals and people is that people have thought about their limitations and overcome them using tools. The earliest tools were probably spears, then bows and arrows. Today tools are mostly rifles, improved with small telescopes (gun sights). This means that a human hunter can shoot at a prey for many hundreds of metres away.
For most of life on Earth, hunting was a matter of survival. That was also true of early people. But after the invention of farming, hunting was no longer a necessity, and it became a sport. Today many people would argue that there is no justification for hunting unless it is to correct the balance of nature (for example because there are too many deer in an area and they are destroying trees and grass.
Fishing is a form of hunting. Fishing in rivers is almost entirely done for sport. This has not so far come in for the same amount of criticism as hunting with rifles, hounds etc, although it is basically no different.