I think it's not so hard to play. Three chords do the trick. Just listen carefully 
to get the strumming. 
I'm not sure if she's using a barred A chord or not, but both sound fine.

Verse 1:

E5          B5                 A5
Close your eyes and count to eight
A5                        E5
No! Don't 'cause I can't wait
B5                A5      
Everything's free in this field of fantasy
E5        B5                  A5
We can hear the singing sun
                       E5
We can feel the air is soft
    B5                   A5
And whatever hurt we're wearing
A5                        E5
Well, We'll just take it off
                        E5
Well, We'll just take it off

Chorus:
              E5   B5
And we'll say A5 B5 C5 D5
A5                                E5
I've got a dream for you and me
         B5
Sweet as honeycomb 
A5
When I'm with you 
                   F#5
You take me home 
                      A5
Yeah I know that we can make it
             F#5
To the stary skies
                      A5                    E5
They shimmer like the love light in your eyes

   B5                 A5
So come on down with me
                    E5
So come on down and dream
   B5                 A5
So come on down with me with me and dream


Verse 2 (repeat progression verse 1)

As I love that what you said
Falling on the featherbed
And jeaolus rain watches through the window pane
In the quiet honeycomb
Moments gather on a stream
When we tie them all together
Is how love happening(x2)

Chorus (repeat)


Have fun!!!