At an exhibition, you get to see the cream of a photographer's work, but even better, you get to see those images on the paper that bests suits the image. My "go to" paper is matte, textured, of a heavy weight and sympathetic in white balance to the subject. 
 
Framing and matting too is also important, and should show the image off while providing a "setting" for the image with the glass protecting it. And finally, arrangement is incredibly important, ensuring that images "go together" and in a way that draws the eye to the centre piece image. There's an art to displaying images as well as taking them!
 
As an example, opposite is my hanging plan for the Lime Tree exhibition in Fort William in August 2022