Does anyone know what type of plant this is and, if so, how it should be cared for? thanks much!

It almost looks like a Christmas cactus, but it doesnt have any pricklies growing on the tips of the leaves.

Could it be a Bird's Nest Fern (Asplenium nidus)?

I think cricket is right. I have 2 bird's nest ferns. Your plant,Yaddle,looks very similar to mine. I have mine in a bathroom window that faces north east. I keep the soil moist but not soggy.
I actually think it's time for me to repot mine.
Your plant is absolutely beautiful. Good luck with it.I hope I was able to help you a little

Thanks!!!!

It's called Asplenium Nidus 'Osaka". Care exactly like any bird's nest fern.