I love this piece. It sounds great as a ballad, a medium or even an up-tempo swing.
Their can be more or less chords in the form depending at what tempo you play it at. It also depends largely on the players!
Also, I often play the melody by itself (no chords) an octave lower. Wes does it like that.
Find your own way of playing the tune and remember : Listen, listen, listen!
Suggested listening :
Jazz Guitar Chords and Jazz Harmony