My response is a little different from the others you've received. I'd suggest that you try to avoid getting into the role of being responsible for entertainment. Because a child is gifted does not mean it is your full time responsibility to engage their brain (or to assign a computer or TV to complete that task.) I see being bored full time in school as something that is problematic and should be fixed, but I don't think we need to carry that over into suggesting it is a parent's job at home to make sure the child is never bored. Some boredom is important in learning to self entertain.
Assuming you are providing a loving environment with some open ended toys (blocks, puppets, etc.) it should not be your job to constantly entertain and when you take on that role it has a way of over time lessening and lessening a child's ability to self engage and self entertain - which really are vital skills for learning.
So, my suggestion would be of course to provide some attentive time playing games or reading but once that is done offer for the child to join you in your world (yard work, sorting laundry or whatever.) If they aren't interested I'd offer an expression of confidence that they will find something to do. They may be cranky for a bit, but in time they will learn ways to make up their own games and they will feel more confident and better if they have this ability.
