Chords: (Low on bottom)
   G   A  D7  D9  A9   D
D[-x  -x  -x  -x  -x  -x
A[-x  -x  -x  -x  -x  -x
G[-4  -6  -7  -x  -x  -x
D[-5  -7  -7  -7  -5  -7
A[-5  -7  -9  -9  -7  -7
D[-x  -x  -x  -7  -5  -7
For the most part, each chord goes for each syllable. Here is my best pronunciation 
with the chords. Listen for the really offbeat rhythm.
INTRO
G A D7 D9 G G D9 
x1
RIFF 1:
G A D7 D9 G A D9 x3
G A D7 D9
(This repeating riff played between verses and after choruses.)
VERSE 1
D7 A  D7  D9  G  D9 G   
 D
So ow pow ewe ca la shu lee lov
D7 A  D7  D9 G  D9 G   
 D
So da kil su en co las cor lo
A  D7        RIFF 1
Oh neh is a yo
VERSE 2
D7 A   D7  D9  G  D9 G   
 D
So sil cal ewe ca lo cal doe sho
D7 A  D7 D9  G  D9 G   
https://www.coveralia.com/acordes/-gobbledigook-sigur-ros.php
 D
So da is dew ca lo i noon sno
A           D7
Oh shai sistrakur... so
CHORUS
G     A        D7 D9
Ah Vindur y har-i-nu
Ah Vindur y har-i-nu
Ah Vindur y har-i-nu
G     A
Ah Vindur y-
RIFF 1
VERSE 3
D7 A    D7 D9  G   D9  G  
 D
So I'll er ewe cal do san tor us
D7 A  D7 D9  G   D9  G  
 D
So te gi goo nee hen di how vus
A           D7
Oh shai sistrakur... So
CHORUS
G     A        D7 D9
Ah Vindur y har-i-nu
Ah Vindur y har-i-nu
Ah Vindur y har-i-nu
G     A
Ah Vindur y-
RIFF 1
La La La's
To end