If you (or another adult in your household) regularly watch or play sports, your child will likely enjoy these activities as well. Of course, even if you don't enjoy sports, your child may like them anyway as she gets older. At the age of two, though, no matter what her exposure to actual sports, your child's skill level will be very basic. Don't worry, however; by the time she's five she'll be able to follow directions and understand some rules of a game.
The catching and throwing skills of a two-year-old are very rudimentary. You'll have to stand quite close to your child to catch and throw things, although he can roll a ball back and forth between you without much trouble. He'll play more easily with larger balls, such as kickballs and beach balls (since these don't weigh very much). He'll be able to kick if he's standing still, and he'll be thrilled if you kick the ball back to him.
Your two-year-old is not quite ready for Hide and Seek, but she will enjoy chasing you and then letting you chase her. She won't understand the concept of being “It” and she may not be ready to take turns, since whatever part of the game she enjoys most (chasing or being chased) is what she'll want to do over and over.
Your two-year-old won't be able to jump very high, but if you put something small on the ground (like a stick) and let her jump over it, or if you jump and have her mimic you, she'll enjoy the activity. Jumping is a good skill for a two-year-old to practice, because it improves strength and balance while building bone density.