Hi kmccall, yes like Michael T says above the Sweep command can be used to create a surface that follows either one or two path curves.

Some more information on it here:
http://moi3d.com/3.0/docs/moi_command_reference7.htm#sweep

There's also the Network command which builds a surface out of a crossing grid of curves:
http://moi3d.com/3.0/docs/moi_command_reference7.htm#network

But looking at your example you would probably want to use sweep 4 times, one sweep for each line.

Then for the indentation in the front that looks like using Edit > Trim to cut a hole in the front part, then build a planar elliptical surface and then use Construct > Blend to make a smooth blend surface between them:
http://moi3d.com/3.0/docs/moi_command_reference7.htm#blend


A good way to get started is to read the introductory page of the help file here:
http://moi3d.com/3.0/docs/moi_introduction.htm

And there are some video tutorials here:
http://moi3d.com/3.0/docs/tutorials.htm

-Michael