small pencil like succulent plant
(Pasadena, CA, USA)
tiny branched ends..not a pencil cactus. all green.
Hi Michelle, from your picture it's hard to tell if the 'leaves' are round or flat; if they're round this is probably some kind of Rhipsalis, of which there are many many different species. Generally, they are many branched, each branch emerging from the modified stems (not really leaves at all) so eventually you get this lovely textured look. I think they resemble some kind of sea weed or hair.
You can see more about Rhipsalis here; unfortunately I'm not an expert in the genus, although they are fascinating plants. Make sure you scroll through other visitors submissions and stories about their plants.
Hope that helps get you pointed in the right direction.