1. A display processing apparatus comprising: a receiving unit configured to receive display information indicating whether gloss-control plane image data is displayed and whether clear plane image data is displayed, the gloss-control plane image data specifying a type of a surface effect applied to a recording medium and a glossy area to which the surface effect is to be applied, the gloss-control plane image data indicating a color of the glossy area when being displayed, the clear plane image data specifying a transparent image formed on the recording medium and indicating a color of the transparent image when being displayed; a generating unit configured to synthesize color plane image data indicating a color image and one of the gloss-control plane image data and the clear plane image data that is specified to be displayed by the display information thus to generate a synthetic image; and a display control unit configured to make a control that displays the synthetic image on a display unit.