Glad you are enjoying Mike's lessons!
Originally Posted by: anthmMy question is what do we call this C Chord, we obviously adding the high E string 3rd fret G note, Its like a C chord add 5?
It's just a different voicing of a C major chord. Any & all major chords have some combination of the 1st, major 3rd & 5th from its parent scale. You can play them in any order, in any register, double as many of them as you want & it's still just a major chord.
If you play the 3rd or 5th as the lowest note then it's an inversion. But still just a different voicing of a basic major chord. Hope this helps!