The track has no comping (just a subtle organ) - giving you loads of space to explore freely, whether you're practicing your comping or soloing.
In theory, you can play C major scale all over this!
C major scale - C D E F G A B
Playing C Major scale will result in C Ionian (Cmaj7 chords), D Dorian (Dm7 chords) and G Mixolydian (G7 chords) - all the same 7 notes... Next up, try out some more advanced colours on the dominant chord (G7/G13) by using the G diminished 1/2-1 tone scale = G Ab Bb B C# D E F (G)
Arpeggios:
Cmaj7 arpeggio = c e g b
Dmin7 arpeggio = d f a c
G7 arpeggio = g b d f