Hi Lorli, welcome to ATP and the Orchids forum.
I don't know its name, but my best guess is a Dendrobium. (There are hundreds, if not thousands of types of Dendrobium.) I do know we'd have a much easier time identifying it for you if/when it blooms. The flowers are much more distinctive than the leaves. So first maybe we can help you with that.
It looks nice and healthy, and that's a really pretty mounting it's on. I'd try moving it gradually either closer to the window, or to another window with more light. You may need to mist/water it more often if it gets some direct morning sun. I wouldn't let the sun shine on it when it's hot in the afternoon, it might burn the leaves. I have a few that look similar, and mine get some morning sunlight here in Florida!
Are you giving it some fertilizer? If not, a weak soluble fertilizer for orchids mixed into a spray bottle with warm water should help it to get inspired to bloom. By 'weak' I mean you mix the fert at about 1/4 the strength that the package recommends. Then spray the leaves and roots with that at least once a week. You should also dunk it in warm, clear water about once a week to rinse off any residual salts.
Everyone worries about overwatering orchids, but it's pretty hard to overwater an orchid that's on a mount like that. Others more knowledgeable than me will surely reply as well, and have more great suggestions plus some guesses at its ID.
