The link you shared takes to a site that I must confess makes me confused and have to do a lot of calculations. I need to translate to chord names and Roman numerals as I am very slow at working with solfege. And this site seems to use fixed DO solfege which is even more confusing for me when a key change occurs.
From the link you shared, I needed to use the transpose button. Using it (+ 7 semitones) brought me to the same instrumental as you shared above (beginning on DO = C major chord.
That means the sections are:
Intro
Chord movement (not written in bars)
G β D β C β D
G β D β C β D
G β D β C β D
As Roman numerals
I β V β IV β V
I β V β IV β V
I β V β IV β V
Verse
Chord movement (not written in bars) chords not in the key of G are bold
G β D β C β D
G β D β C β D
G β D β A7 β D
Dsus4 β D β C β Bm
C β D β B7 β Em
C β Am7 β D β G
D β C β D
As Roman numerals
I β V β IV β V
I β V β IV β V
I β V β II7 β V
Vsus4 β V β IV β iii
IV β V β III7 β vi
IV β iim7 β V β I
V β IV β V
Both A7 (pushing the the D chord) and B7 (pushing to the Em chord) are secondary dominants. These chords do not belong to the key but are placed there deliberately and give a sense of forward movement towards the subsequent chord.
Instrumental
Chord movement (not written in bars) chords not in the key of G are bold
C β G/B β Am7 β Bm β C β D
C β G/B β A7 β Dsus4 β D
As Roman numerals
IV β I β ii7 β iii β IV β V
IV β I β II7 β Vsus4 β V
Once again, A7 is a secondary dominant pushing the the D chord.
The fact that this break ends on a D chord and immediately shifts to the new key of A major for the final verse and chorus confirms that D is being used as a pivot chord. It is common to the keys of G major and A major so can act as a smooth door to travel through in making the key change seem natural and not abrupt or forced.
Final Verse (key change from G major to A major)
Chord movement (not written in bars) chords not in the key of G are bold
A β E β D β E
A β E β D β E
A β E β B7 β E
Esus4 β E β D β C#m
D β E β C#7 β F#m
D β Bm7 β E7 β A
F#m β Bm7 β E β A
F#m β Bm7 β E
As Roman numerals
I β V β IV β V
I β V β IV β V
I β V β II7 β V
Vsus4 β V β IV β iii
IV β V β III7 β vi
IV β ii7 β V7 β I
vi β ii7 β V β I
vi β ii7 β V