In a large saute pan, heat 1 tablespoon butter and virgin olive oil until, melted together. Add onion and cook over medium heat until soft and not yet browned. Add apples and rice and cook about 3 to 4 minutes, until rice has acquired a pearly opaque quality. Add the wine and simmer until evaporated.
Add enough warm chicken stock to cover rice and cook until the level of the liquid goes down below the top of the rice. Continue cooking, adding stock and stirring constantly until most of stock is gone, about 15 to 18 minutes.
The rice should be tender and still retain an "al dente" bite. Stir in the remaining tablespoon butter, grated cheese and season with salt and pepper. Serve immediately with additional grated cheese on the side.