I found other versions to be quite over complicated so, although this may not
be exactly how the original is played, I made this so novices can have a jam happy playing y'all :)

                           (not same key as original but if you listen to the
Intro: C  G    F     C G    intro you should get an idea of timing - I've
       C  G    F     C      tried to space the chords to match the song)
                            
C    G         C                    G
 Ooh-oo child, Things are gonna get easier
C    G                       Am
 Ooh-oo child, Things'll get brighter
C    G         C                    G
 Ooh-oo child, Things are gonna get easier
C    G                       Am
 Ooh-oo child, Things'll get brighter

D     A               D                         A
 Some day, yeah We'll get it together and we'll get it all done
D     A                           G
 Some day, When your head is much lighter
D     A               D                     A
 Some day, yeah We'll walk in the rays of a beautiful sun
D     A                           G
 Some day, When the world is much brighter

C    G         C                    G
 Ooh-oo child, Things are gonna be easier
C    G                       Am
 Ooh-oo child, Things'll be brighter
C    G         C                    G
 Ooh-oo child, Things are gonna be easier
C    G                       Am
 Ooh-oo child, Things'll be brighter

D     A               D                         A
 Some day, yeah We'll get it together and we'll get it all done
D     A                           G
 Some day, When your head is much lighter
D     A               D                     A
 Some day, yeah We'll walk in the rays of a beautiful sun
D     A                           G
 Some day, When the world is much brighter


(Hit first two chords same as intro - then change pattern for La's)
C    G    C               G
          Lalala laaaa la lalala laaaa
C    G                Am      G    
          La lalalala lala la laaaa
C    G    C               G
          Lalala laaaa la lalala laaaa
C    G                Am      G    
          La lalalala lala la laaaa

D     A                    D                         A
 Some day, someday some... We'll get it together and we'll get it all done
D     A                           G
 Some day, When your head is much lighter
D     A                    D                     A
 Some day, someday some... walk in the rays of a beautiful sun
D     A                           G
 Some day, When the world is much brighter


C    G         C                    G
 Ooh-oo child, Things are gonna be easier
C    G                       Am
 Ooh-oo child, Things'll be brighter
C    G         C                    G
 Ooh-oo child, Things are gonna be easier
C    G                       Am
 Ooh-oo child, Things'll be brighter

      G            Am    G
Right now          right now
      G            Am    G
Right now          right now
                                           Am
And you just wait and see things are gonna be
G                                          Am
And you just wait and see things are gonna be

G                  Am    G           (kinda just made my own ending because 
                   Right now........  song fades out)

                                 Peace