As a robot, Bobert has trouble perceiving life and emotions. He perceives most events as equations; to him, emotion is equal to "x/y + √h". His perfectionism as a robot also causes him to over-do a lot of things.
He demonstrates this in The Third , where he punches Gumball through a wall during a friendly game of punchies, and in The Robot , where he kicks the soccer ball into the sun instead of passing it back to Tobias. These characteristics make him a social outcast among his classmates.
Despite all of this, Bobert has been seen showing some emotions. In The Mystery, Bobert was able to laugh for a while before shorting out. Also, in The Robot , he showed love, laughter, and sadness, though the third one may have just been a calculated tactic to try to stop Gumball from rebooting him.