This is my take on the song and by ear it's pretty accurate.

Standard EADGBe Tuning.

VERSE 1
F#
I stayed in one place for too long
Gotta get on the run again
I saw the one thing that I want
Hell bent, get outta bed
E
I'm throwing rocks at your window
You're tying the bed sheets together
They say we are dreaming too big
I say this town's too small

CHORUS
F#
Dream
           A
Send me a sign
              E
Turn back the clock
              B
Give me some time
              D
I need to break out
               A
And make a new name
               E
Let's open our eyes
                B
To the brand new day

It's the brand new day
F#
ah ah ah ah ah ah ah ah ah
F#
ah ah ah ah ah ah ah ah ah 

VERSE 2
F#
I've taking hits like a brother
But I'm getting back up again
And from the moment I saw her
I was hell bent with heaven sent
E
I'm throwing rocks at your window
We're leaving this place together
They say that we're flying too high
Well get used to looking up

CHORUS
F#
Dream
           A
Send me a sign
              E
Turn back the clock
              B
Give me some time
              D
I need to break out
               A
And make a new name
               E
Let's open our eyes
                B
To the brand new day

It's the brand new day

BRIDGE
                D  A  E
It's the brand new day
                           D  A  E
I know it's the brand new day
                           D  A  E
Come on to the brand new day
                           D  A   
I know it's the brand new day

CHORUS
G
Dream
           Bb
Send me a sign
              F
Turn back the clock
              C
Give me some time
              Eb
I need to break out
               Bb
And make a new name
               F
Let's open our eyes
                C
To the brand new day

It's the brand new day


That's all folks!