This is not so easy as it may appear. You can of course always convert the cell to conventional via Bulk tools>Supercell and click the Conventional button (+apply). But then you would calculate also the conventional cell - which on the other hand would be the only way to get the data you mention shown for the conventional cell. It's not so easy to just convert the results (3D data like charge density) to conventional, or at least it's not a functionality we have today.
What you can do of course is overlay the conventional geometry on the data plotted for the primitive cell, in case that makes sense for your purposes... Then just plot the data in the Viewer, and drop the conventional geometry onto the open scene window.