Do the keys of E minor and G major consist of the same notes just with a different root note? I am confused on how the major and relative minor scales relate to each other.
E minor and G major are the same scale with different roots, yes. it gets into modes, which i wont really explain, but basically its G Ionian and E aeolian.
Fun fact: Add 3 flats (or subtract 3 sharps) to get the same root note minor key of a major key.

i.e. A Major had 3 sharps. Subtract the 3 sharps and it becomes A minor
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Quote by werty22
^I hope I can remember that.

All it means is that 3 half steps up is the relative major, and 3 half steps down is the relative minor. Not hard to remember.