I see, that is not what peolple using Blender will think of when you say Smooth Mode. In Blender, you can get this by having a Subdivision Surface Modifier on both, one with Catmull Clarke (smooth version) and the other using Simple:
You can then also use Smooth Shading to get even closer to the Maya result.
I don”t know hot to get that same result (the unwrapped version) in the UV Editor though.