Soft Coral
Soft coral or softies are a general category of animals that do not contain a stony skeleton like scleractinians. Because these corals do not pull a large amount of calcium and carbonates out of the water column a tank setup with just these corals can sometimes be easier to keep.
"Stock corals" means what is for sale may not be the exact items pictured, but clones similar in appearance. There may be some "What You See Is What You Get" items listed here as well which will have "WYSIWYG" in their title.