A kitten would really not have much difficulty in finding a cozy place to sleep even if a kitten bed is not provided. They can cuddle up and sleep anywhere - in the cupboard, sofa, human bed or even under the cars.
But it is still a good idea to provide a kitten bed because it will be there where most hairs will be shed. It would be better for cat or kitten hairs to be shed in the cat or kitten bed rather than in one of your family beds, isn't it?