The russians where actually planning a moon mission too.
They even had a Lunar Lander.
But the program was aborted after the Americans where first.

It would have thaken the russians to the mid 70s to be ready.
So there was not point progressing that mission.

(the lunar landigs are a pure tech-competition thing,
they where not done for scientific purposes)

http://en.wikipedia.org/wiki/Soviet_Moonshot
http://en.wikipedia.org/wiki/LK_Lander