If you want SketchUp to calculate the surface area painted with a material, you can context-click the material and select Area > Material.

An Area dialog box shows the total area of faces to which the selected material is applied.
The units used depend on the units specified in your template. See Model Templates for details about changing your default units.

Using SketchUp’s classification tools, you can generate a report on materials in your whole model. See Classifying Objects for details.