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I don't think it is possible to prove what an actual object objectively looks like. Color, and I assume other aspects of visual perception, are created in our brains, which makes it a unique experience for each person. I don't think it is possible to prove that the way I see something is the same way someone else sees the same object.

If this is the case for visual perception, I wonder if the brain also constructs the input we receive from our other sensory perceptions (i.e. taste, hearing, etc.). For example, when I hear something, does it sound the same to someone else? Or is it like color where we each have our unique perceptions of the sensory stimuli?