Very pretty! This is actually a really easy species to grow, and a rather under-appreciated one, too. It used to (or maybe still does) go by the name Dendrobium aphyllum. Generally speaking, it wants warm-to-hot and wet summers, followed by intermediate and dry winters. The winter rest is what triggers flower production the following spring.
During the summer I put my plant outside in a spot where it gets eastern sunlight during the morning hours, followed by bright shade during the rest of the day. It gets fertilized very lightly every couple of days, but I water it practically every day during the heat of the summer (it's also in a small pot with a fast-draining mix). It comes back inside during the late fall when night temperatures consistently fall below 55 F. From that point on I put it in a south-facing window and water it maybe once every two to three weeks. When the leaves begin to yellow (usually around late December to mid January) and fall, I stop watering it completely until buds appear. Once buds appear you can begin watering it again (the biggest "danger" in watering it too early is that the embryonic spikes/buds will turn into keikis instead of blooms).
If you look up Den. aphyllum you may find more info' on this species. Try orchidculture.com; they should have a cultural sheet on whatever name this one's currently going by. And good luck with your plant!