I think (111) surface refers to a flat surface of atoms that intersect with x,y,z axis at 1.
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1$\begingroup$ en.m.wikipedia.org/wiki/Miller_index $\endgroup$– Nilay GhoshCommented Aug 18, 2017 at 3:15
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Stepped surfaces generally refer to surfaces (of a particular index) which have 'steps' like a flight of stairs. A cursory search on google images can yield some useful examples, such as this one:
As you can see from the example, a stepped surface will be a surface which includes steps which go from one layer to the next.