Intro:

 A5  A5 A7add11                      
 D5  D5 D5              x2

A5             D5                   
bl? n?tt yfir himininn            *Play D for a bar then                   
A5             D5 *                  D5 , D5 , D5 , D5        
bl? n?tt yfir m?r                 a beat each for the second bar
A5              D5                     A5
horf-inn ?t um glugann minn me? hendur
              D5        C#5
faldar undir kinn
       G5             D5   A5    D5
hugsum daginn minn ? dag og ? g?r

A5             D5
bl? n?ttf?tin kl??a mig i,
A5           D5 *
beint upp i r?m
A5            D5
brei?i mj?ku s?ngina
A5    D5         C#5
loka augunum
       G5             D5     C#5
?g fel hausinn undir v?ng

Chorus:

B5 B5 A5   G5      A5   A5  D5   D5
starir  ?   mig l?till ?l-fur
B5 B5 A5  G5          A5    A5  D5
hleypur a? mer en hreyfist ekki
   A5 **    G5      G/f#               **(confused by this bit - A5 sounds
ur sta? - -  sjalfur                   better but it looks like he's
G5                 D5                    playing G/f# on the vid. I play A5 )
     star?lfur

Back to the intro over  A5  A5 A7add11  D5  D5 D5    x2  etc

A5     D5
Opna augun st?rurnar ?r
A5            D5 *
trygi mig og tel (hvort ?g s? ekki)
A5               D5
kommin aftur og alltalltil?
A5               D5         C#5
samt ventar eitthva?
        G5      D5 ***          ***Here I play the D5 for most of the bar
eins og alla veggina         then Dsus2, D, D4 quickly before
                             the instrumental to mimic the orchestra
The instrumental interplay:

 A5  A5 A5  D5  D5  B5  A5 
 G5  D5  A5  A5 

 D5  D5 D5  
 D5 

Then play the chorus again followed

 D5 G5 D5  G5  G5  G5 D5 
 D5  A5   D5  x2                (actual bar timing
                                         a bit sketchy)
Then

   A5 **    G5       G/f#
ur sta? - -  sjalfur
G5                 D5
     star?lfur

Notes:

A5            x02020
A7add 11  =   x02022
D5         xx0222
 
C#?- x4535x
I use  3x0003 for G5
G/D chord at the end is xx0033
G/f#   2x0033
D5   2x0232
D5   x40232



Other bits you could play

{Pre-Intro:

violins start with:

E--12--------- | --14---------------- |           x2
B--14--------- | --15---------------- | 
G-(14)-------- | -(14)--------------- | 
D-(14)-------- | --12---------------- | 
A--12--------- | -------------------- | 

These are also the verse chords but you can just play A and D basically.

Then for the intro you could play

-0----5----3----2-- | -2----2----(b9)--10------ | 
-2----------------- | -3--------------------- | 
-2----------------- | -2--------------------- | 
-2----------------- | -0--------------------- | 
-0----------------- | ----------------------- | 
-x----------------- | ----------------------- | 

Piano bit that goes on top:

    A5
 | e--------17-------17------- | --------------17---------- | 
 | B--14-------14-------14---- | -14----14--------14----14- | 
 | G-(2)-14-------14-------14- | ----14----14--------14---- | 
 | D-(2)---------------------- | -------------------------- | 
 | A--0----------------------- | -------------------------- | 
 | E-------------------------- | -------------------------- | 

    D5
 | e--------17-------17------- | --------------17---------- | 
 | B--15-------15-------15---- | -15----15--------15----15- | 
 | G-(2)-14-------14-------14- | ----14----14--------14---- | 
 | D--0----------------------- | -------------------------- | 
 | A-------------------------- | -------------------------- | 
 | E-------------------------- | -------------------------- |