Thanks everyone for the replies! I kind of lost track of this thread, oops.
Latest update for this plant, the first flower finally gave up 3 weeks ago. Two of the new growths are getting relatively large, probably because I'm not giving it quite enough light. But now there is a bud on one of the older growths, so it's obviously getting enough to bloom! I'm really enjoying this orchid. So far it has grown well for me and is quite trouble free.
For me, this is the next step in successful cultivation: developing a bud under my own care. But I won't consider it a complete success until I've gotten a bloom from a new growth that developed entirely under my care.
Note: It may be difficult to tell in this picture, but there is a flower bud on the older growth in the middle of the photo. I promise it's more fatter and more 3-D in real life. lol