This Beatles song was released in 1962 and was written by Lennon-McCartney.

G                        C
Love, love me do
       G                      C
You know I love you
     G                   C
I'll always be true
                               G  
So please love me do
C            G       C
Oo Love me do
D
Someone to love
C               G
Somebody new
D
Someone to love
C                    G
Someone like you
                           C
Love, love me do
        G                     C
You know I love you
     G                   C
I'll always be true
                C            G
So please love me do
C           G
Oo love me do

I really like this song. It is musically extremely simple and lyrically very 
poppy. Please enjoy and like!