The translucent vellum I use is called Translum. I learned about it a few years ago from Terry and I'm still using the same roll I bought then. I even gave nearly half of it to one of our CiC participants and still haven't needed to order a new roll.
For a detailed description of it, see this. For the options and related specs, see this. Mine is the 54" x 18' roll.
The specs accessed by the second link provided above indicate the various thicknesses. It's relatively smooth to the eye but I have no idea how it compares to your art paper.
When I want a background that displays no texture when photographed up close and when lit from behind, I use translucent plexiglass rather than vellum. That's because the vellum disperses the light in such a way that displays a little texture that is not displayed when using the acrylic.
Notice that my version of the Translum reduces the light by 2 stops. Sometimes I use a small piece of it in front of a continuous-light lamp to reduce the brightness of the light falling on the scene.