Is it like on the left or on the right, only yellow:
On the left is scleronephthya, on the right - dendronephthya.
You can find a lot of threads on their keeping at this forums, soft corals forums, others non-photosynthetic / azooxantellate corals forums.
As far as I know, it will require almost constant feedings by specialized food (Fauna Marin, different recipes, or Shellfish Diet plus Rotifeast), but most of this information is applicable to a larger systems. Barebone minimum in feeding will be variety of mouth sized foods, not only phytoplankton, but zoo origin too, imitation of detritus and bacterial dust, like Marine Snow. Small amounts, drop for this one coral, given frequently (automatic feeder or dripping the frozen food into high flow area).
Now the bad part, sorry:
With such influx of nutrients you will need to keep water survivably clean, with no ammonia, and nitrates within 40 ppm, phosphates preferably zero.
If you have 1.5g pico only and no other tanks, and don't plan to expand, then (at least I) don't know how to do that.
I kept 3/4 g pico with other NPS coral, that required twice a week feedings, but in larger amounts, and I did almost full water changes, using water from established 6g nano tank. New water, if it is not a natural sea water, killed organisms that I kept.
You may:
1. Make similar backup tank, with less feedings, maybe refugium type, with macroalgae. Or
2. Try to figure out how to make adequate filtration for a pico.
I had seen photos of 2g picos (usual photosynthetic), that were using hang-on-the back of the tank Rio Nano skimmer (~$30, works well - have 2 of them, but they are louder, then I would like it to be). I had it on 6g Nano-cube, set as refugium type of the tank, with good light (day light, later 27W daylight spiral bulb), planted. It processed quite a lot of food, except liquid fraction of homemade seafood blend, but within a couple of months the content was transferred to 10g tank, with more biomedia in the side sump (it could be 2g tank for $10 or $1 plastic container for fry food storage. Search for "Minibow 2.5" PaulS will show photos). So I can't say how it will be in a long run.
Another challenge, requiring some observation and trial and error approach, will be positioning this coral in the pico, where it will get quite strong flow (it keeps green star polyps almost flat, much more than Rio Nano Filter, 60 gph is able to give), but not in a close proximity to the pump or filter, flow should be dispersed.
If you decide to keep this coral, I can give more links on pico and nano setups, that could be useful (as an ideas, not of them was set for NPS corals) and some photos.
If you will be able to keep it in small settings and post for all of us how to do that, it would be very interesting and useful. But beware, that chances are not too high.