In Eastern Germany, i.e. the part that became the Soviet occupation zone and finally ended up being the socialist German Democratic Republic, there were many accounts of Soviet soldiers plundering the property of Germans and raping German women; there’s a bunch of East German jokes about it, and rumor has it that the famous picture of the Red Army soldier flying the Soviet flag on the Berlin Reichstag (which was posed for anyway) was retouched because one of the soldiers in it was wearing two watches - watches were popular prey for the Soviets.
In general, it is known that there was Soviet abuses against German prisoners of war, see for example this Wikipedia entry; a fact that is unfortunately being used by German neo-fascist groups to try to excuse the German army’s cruelties against Soviet civilians and POWs (“What the Wehrmacht did was wrong, but the others did just the same things”).
Anecdotal input: My grandmother, who is still alive, says that my late grandfather was extremely lucky at the end of the war. He had been a member of one of the SS units that were fighting on the Eastern front, but the bureaucratic machinery somehow forgot to tattoo his blood type on his arm, as was mandatory for SS men. When the war was over, he managed to get rid of his uniform and get civilian clothes, so when he was captured, he could not be identified as an SS member. He was sent to a forced labor camp in Poland and released four years later; my grandmother says that if he had had the blood type tattoo, he might probably have received much worse treatment, probably not surviving captivity.