You can use a Smooth Mesh Preview to view what a smoothed version of a mesh will look like prior to actually applying a Smooth operation to it.
To preview a smoothed mesh using Smooth Mesh Preview
Maya displays the original mesh (as a wireframe cage) and the smoothed preview simultaneously, letting you select components on the either version of the mesh.
Maya only displays the smoothed preview. When you select and edit components directly on the smoothed preview, the changes are reflected back onto the original mesh.
Alternatively, you can go to the Attribute Editor for any mesh's polyShape node and turn on Smooth Mesh Preview in the Smooth Mesh section.