In the NURBS curve Properties dialog (not the Object Info Palette), there is a length field that tells you the length. But I think there was a bug in VW11.0 on Mac - and length field may not be showing anything - I may be wrong. On Windows it works.
However you can change 3D conversion resolution to very high or high, convert copy to lines on the NURBS curve, unfroup, select all, compose the lines into a polygon and see the perimeter value of the polygon on the object info palette.