Sorry, Jinx, multicellular plants and animals - you, your pet dog, and the maple tree outside, for example - are most definitely eukaryotes. From Merriam-Webster Online:
Also, I think you’re misreading the Hertzprung-Russell diagram. Stars do not pass through all the spectral classifications as they age. Their initial mass and composition is going to determine where they fall in the spectral classification, and they will go through the particular life cycle for that class star. The Sun is a G-type star, always has been, always will be.
dtilque’s link mentions the following tidbit:
It seems that The Complete Idiot’s Guide to Astronomy may need some updating, if it still refers to this idea.
The Sun will remain a G-type star until such time as it begins to run out of hydrogen fuel at its core. Enhanced fusion of hydrogen at intermediate levels in the Sun will force the outer layers to expand, ultimately producing a red giant star with a surface cooler than the original G-type star. At this point the Sun will have left the main sequence, on its way to dying out.
However, initial mass does determine where a star will fall on the main sequence and what its life cycle will be like as a certain type of star in the main sequence. This page on stellar evolution has some really nice explanations to clarify issues.