That's right, Djh. This particular rosette of leaves will not bloom again, but it will make more plants, then die back. As the leaves turn brown you can cut them off, but as long as there is green, they are still nourishing the plant. In a few months you will have a nice new clump of baby plants coming along and they each will make only one flower stem, too. Eventually.
Could you please put into your profile where (approx) you are? That way whenever you post anything, your location appears in the top right of the post. This helps a lot with answering questions. I was just wondering if you might want to let this plant grow outside for the summer - they like humidity and warmth a lot better than air-conditioning which is like a desert. But if you live somewhere dry, it might be better to keep it indoors, maybe in your kitchen or bathroom where there's a bit more humidity.
