Babies want nothing more than to sit on your lap snoozing and feeding. It's more or less what you do at home anyway. The hardest part about flying with a baby is dealing with the added luggage (stroller, carseat, overpacked diaper bag, etc).
It's only once they're old enough to have more sophisticated feelings (like boredom) but not old enough to communicate them (except by screaming) you get in trouble.