Photo is very dark and hard to see but that is a palm, not a fern. I'd need a brighter, clearer pic to determine precisely what kind of palm. A WAG is areca palm.

It's a Parlour Palm, Chamaedorea elegans. You have multiple plants in that pot, which is the way they are usually sold. They're very slow growing so would probably need something like 20 years to put on any height. They're ideal indoor plants, the soil just needs to be fast draining and not soggy.