Welcome to Chordie Joe!
I remember this song, seems to me that it was covered by The Fifth Dimension, Barbara Streisand, and several others back in the day.
this is just a guess and at my age memory might be questionable.... but you might fiddle around with this progression in 4/4 time and see if it's close:
F A7/E A7 Dm G7 C G7 C A7 Em7 C A7 Em7 A7 Dm A7
I could only find one cover on the old youtube... and between my memory and what I think I heard, this could be enough to let you figure it out.