If they are those small pots of blooming roses sold at markets and the like, they are pushed to bloom with the expectation that when they are done, they die.
Roses are OUTDOOR plants. You can save your little rose, as the blooms fade, by potting it up to a larger size and putting it outdoors. Putting into the ground, eventually, is optimal. Your Z6 winter may be a problem for it, if it is a tender variety.
While it is in the house, try to give it some sun, and water it when it is dry. Do NOT let it sit in a saucer full of water.