Is this in response to some science fiction piece like Ray Bradbury's "There Will Come Soft Rains"? I imagine that the only thing to do in a house that is completely automated would be what you enjoy...your leisure time activities such as reading, crafting, TV, watching movies, surfing the internet, inventing, etc. All else which takes up so much of our time today (cleaning, cooking, laundry, etc.) would be done by the automated robots of one kind or another (in Bradbury's story, the housecleaning was done by automated mice, the stove did the cooking, etc.).
Since most of us get the majority of our exercise from housecleaning (especially if you live in a multi-level home with stairs to climb), it seems that we would become much more obese as a society than we already are; however, one could argue that we would have more time to workout if we were relieved of our house duties. Also, the "stove" would definitely cook us healthier meals. So, maybe, we would be a thinner, more fit society.
Boredom shouldn't be an issue, but without duties and chores around the home and at school or work, we would not (it seems) learn lessons in responsibility, teamwork, and sharing.
There are definitely both good and bad aspects of living in a completely automated society. As some sci-fi movies have suggested, the robots could become more intelligent than the humans who control them and seize power...ultimately imprisoning the human race. Think I-Robot, and other such films for these ideas.
I hope I've been able to give you some ideas and a starting place for your essay. It is a fascinating topic...with no real right or wrong answers. Just be sure to support your ideas with examples of why it may happen the way you suggest. Good Luck!