Hi Ann, the term "weakly weekly" refers to fertilizer, not water, actually. My Phals get watered a couple of times a week, lightly.
It's a really pretty one, but as you can imagine there are literally thousands of cultivars of Phal. Unless there is a tag with contact info for the grower, I'd think you're out of luck on a name.
Check to see what it's potted in, and that there are air holes and good drainage in the pot. A lot of big box store and grocery store Phals come potted in a soggy, dense wad of sphagnum and this is virtually a death sentence as the plants absolutely need air to get to the roots. Either stick your finger down under the middle of the plant, or gently ease it out of the pot to take a look.
Get back to us if you find the soggy wad of moss. If there is wood chips and perlite and chunky stuff like that, it's good.