Welcome, welcome, welcome. We are glad you stopped in and posted your topic instead of dumping your new pet because she is not what you expected. You have received some great advice here and now (here it comes, folks) I will add my usual bit: Obedience training.

When you've had the lovely lady for about four months, she should be fairly well settled to the idea that she will no longer be living her life in some cage and chasing bunnies around a track. However, in order to help her bond with you, I suggest obedience work. It will help socialize her to the big wide world and help her learn that you are the leader of her new "pack" (even if it's only you and her) and that you can and will be trusted to do the best thing for her. I would go with a program that encourages using treats and praise instead of "pushme-pullyou" methods which is how I first learned to train. You can use her own dog food for rewards or you can teach her to accept treats. I prefer "Drumstix" by Pounce. Just crumble some into her regular food for a few feedings and then offer her one everytime she does good stuff like going outside to potty. If she likes them (I've only met one or two that didn't), you can use them in training. They're actually cat treats, but you can break them in two and the dogs seem to love them. Since they are cat treats, they're flavor intensive and small bits will still seem wonderful to the dog.

As for playing, well, you've received some very experienced advice there. It may well be that she will never adopt your concept of play, but she may make up her own games or never play at all. Still, offer her toys now and again and she may surprise us all. The Buster Cube or Buster Ball is what most of the folks are talking about that you put treats into and the dog rolls it around on the floor. I even had a JRT that challenged my Cattle Dog mix (who was the Beta bitch in the house -- I am ALPHA) and back her up for the Buster Ball. It was sort of amusing, but nearly a fight and the Buster Ball went to my mother's house. I ought to get one for my current Jack Russell Terrier as she's quite an active child.

Anyway, is there a Greyhound rescue group that you got her from? You could talk to them further, but the best thing at this point is to be patient and see what she does in terms of personal entertainment. We look forward to hearing more about her.