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A collection of billboards (faces which are always facing the camera) with the same (default) dimensions, material and which are fairly close proximity to each other.
Billboards are rectangles made up of 2 tris which are always facing the camera. They are typically used for special effects like particles. This class collects together a set of billboards with the same (default) dimensions, material and relative locality in order to process them more efficiently. The entire set of billboards will be culled as a whole (by default, although this can be changed if you want a large set of billboards which are spread out and you want them culled individually), individual Billboards have locations which are relative to the set (which itself derives it's position from the SceneNode it is attached to since it is a SceneObject), they will be rendered as a single rendering operation, and some calculations will be sped up by the fact that they use the same dimensions so some workings can be reused.
A BillboardSet can be created using the SceneManager.CreateBillboardSet method. They can also be used internally by other classes to create effects.