What is the name of this plant
I can not tell for sure from that photo. You could bring it to your county extension office for a more accurate ID. My guess is a type of juniper. It has awl-shaped leaves, which would fit with that ID. It looks like it has been pruned into a lollipop shape. You can either keep it indoors and treat it as a bonsai or plant it outdoors. It is a full sun plant.
Thank you so much. I looked up the junipers and the leaves match. This weekend it is getting a new pot, soil and the works.
Thank you again,
Great. My response will close the question. Enjoy your plant.