These Chords are definetely the right ones.
Standart tuning (E-A-D-G-B-E)

Em                    B7
Rastsvetali yabloni i grushi,

B7                    Em
Paplyli tumany nad rekoy.

G C G  E7 Am       Em
Vykhodila na bereg Katyusha,

Am    Em   B7       Em
Na vysokii bereg na krutoy.


Vykhodila, pesnyu zavodila
Pro stepnogo, sizogo orla,
Pro togo, katorogo lyubila,
Pro togo, ch'i pis'ma beregla.

Oy ty, pyesnya, pyesenka devich'ya,
Ty leti za yasnym solntsem vsled.
I boytsu na dal'nem pogranich'e
Ot Katyushi peredai privyet.

Pust' on vspomnit devushku prostuyu,
Pust' uslyshit, kak ona payot,
Pust' on zemlu berezhyet rodnuyu,
A lyubov' Katyusha sberezhyot.