That's a great deal for that plant. Are there two plants in there or does the plant have a second growth?
It's impossible to ID a Phal from a place like that because so many hybrids are similar and the big growers don't bother to register many of their crosses. But I've found those large white flowered Phals bloom for a long time. I don't have one now, but they're easy to grow and easy to bloom if you give them decent (don't need to be perfect) conditions.
Don't be surprised if the blooms fade fairly quickly. The plant has been been moved to a place with a different environment and many blooming orchids respond by dropping the flowers. When that happens, I would cut the spikes off an inch or two above the base. It's possible to make a strong Phal rebloom by cutting higher, but it takes a lot out of a new plant.
After a new Phal is done blooming, I repot it as soon as there's any sign of active root growth (green root tips). Some people like those clear plastic pots, but I prefer larger pots be unglazed clay orchid pots. Those are the pots with extra holes on the side. The coarse epiphyte orchid mixes sold at nurseries or even Lowes are good for Phals. A layer of packing peanuts at the bottom, covered with a little coco fiber or even a bit of mesh from an onion bag, will help keep the roots well aerated.
You'll figure out what works well for you, whether it's mounting plants or putting them in certain mixes. You'll also learn which plants you can grow and which don't do so well for you. If a plant needs to be watered every day, for instance, it won't be happy with me. Orchids aren't the huge challenge some people think and some of mine are among the easiest plants I grow. But I've learned that some are impossible for me.