What a lovely example of Asparagus densiflorus ‘Myersii’, commonly referred to as Asparagus fern or foxtail fern. Unlike it’s name, this plant is not a fern, but is a member of the asparagus family. It is native primarily to coastal areas in the southeastern part of the Cape of Good Hope in South Africa. Unfortunately, these plants are not winter hardy in our climate and can only be grown outdoors during the summer or as an indoor plant.
If you wish to grow this plant indoors make sure to keep the fern in a cool well ventilated area with filtered/indirect light. Keep the plant moist but not waterlogged from spring to fall when the plant is actively growing. Water sparingly during the winter.
Fertilize your fern during the active growing season (spring-fall) with a general (20-20-20) fertilizer once a month.
Here is additional information on this lovely plant.