Kudos to sundanceskid for posting good chords for this song.  
I play ukulele and have figured out some chords that I think 
are a little more colorful and true to the song. I don't know
how it sounds on guitar, but I hope you like it.

(Note: Gsus and F9 chords can be G and F too, just change it up whenever you think it sounds best)

(Capo 1)

verse 1:
C
Off to the land of sleepy time I go

I'm gonna take my shoes off at the door
F9
I'm gonna go where dreams like rivers flow-ow oh
C
When the alarm goes off I just won't go

chorus:
Gsus4
Won't you
F9        C
Come with me
Gsus4
Won't you
F(silent)     C
Before they're gone in the morning
                         F9
I wanna know why they're gone in the morning
                          C
I feel alone when they're gone in the morning
                         F9
I wanna know why they're gone in the morning

verse 2:
C
I'm gonna master all kinds of kung fu
C
I'm gonna live inside a tiny zoo
F
I'm gonna grow myself a giant afro oh
C
When the alarm goes off I just won't go

repeat chorus

bridge:
C           Gsus4        F9
I don't mind what's in store
                   C
I'll make it in my own sweet time
F              G7
When I go, oh I don't wanna go

repeat chorus multiple times and end on C.