You may recall that Kodak used a letter notation to describe the paper surface (F was glossy, E was similar to what Ilford calls 'pearl', N was semi-matt, etc). In addition, they used a two-letter designation to describe paper weight - SW, DW, and yes, there was a LW, or light weight paper.
Back "in the day", Kodak had what they termed an "A" surface paper - a "smooth lustre" paper (similar to modern air-dried glossy) on an ultra-thin base that was intended for insertion in books. Papers with the A surface also had an LW, or light-weight, weight designation.
This paper was used to produce four different A-LW commercial papers:
Kodabromide - a conventional, graded emulsion used for art/display
Ektamatic SC - a graded emulsion designed for rapid "stabilization" processing
Polycontrast - a variable contrast emulsion
Ad-type - a graded paper intended for commercial applications
Since Kodak has now exited the paper business, none of these are available any longer although you may be able to find orphan stock squirreled away somewhere.