From a science point of view, you can only get the colours being emitted by that star. Res stars only put out red light so you shoudl only see red. Yellow on up output all colors. What colors you see are based on if it is an absorption or emission nebula (a nebula can be either, it depends on gas temperature and location of stars).
From a science point of view, that's not true at all. Stars approximate blackbody emitters, their emissions peak in a particular part of the spectrum that's directly related to the surface temperature, but red stars certainly emit more than just red light. Even a relatively cool red giant with a surface temperature of 3000 K (Compared to our sun's 6000K) is emitting light across the entire visible spectrum, into the ultraviolent. The emission simply *peaks* in the infrared. If you were in orbit around a red supergiant, it wouldn't look red to you, it would be the same blinding white as our sun is.
The apparent color of a star is different still, because your eye is essentially integrating across the entire emitted band; our (yellow) sun's emissions actually peak in the green part of the spectrum, but the sun appears neither yellow not green, it's apparent color is white.
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