The coral in the link that you provided closely resembles the Distichopora species coral depicted on page 104 of the Borneman book. (The corals illustrated for Stylaster appear to have finer, more abundant branches.)
"Like Stylaster, Distichopora are ahermatypic and aposymbiotic hydrocorals found in shaded and usually higher nutrient conditions."
So it will need to be fed, zooplankton or a reasonable substitute (i.e. Cyclopeze.)