Um, after a Communist revolution their won't be a congress or a senate.
"...A People's Commissar (informally abbreviated narkom) was a government official serving in a Council of the People's Commissars.
Basically Lenin considered a Congress/Parliament/Senate as "Bourgeois." Before becoming the future dictator of the U.S.S.R in the 1920's, he claimed to support the Soviets(Councils), which were an experiment in direct true Socialist democracy.
Kind of like what is going on in Greece, only Greece's People's Assemblies are a mixture of Socialist ideas and non-Socialist ideas. think of the Soviets that way. mass assemblies called in cities to oppose the ruling government, only the Soviets of Imperial Russia were much more radical.
Later on however, due to civil war or Lenin's own personal decrees, the Soviets were all but destroyed by the time the U.S.S.R was created, save for a few rather resilient and somewhat moderately powerful stragglers that Lenin claimed had *all* the power. Stalin would dissolve the remaining Soviets(as they were the only thing standing in his way of becoming a full scale tyrant) and would turn the USSR into a dictatorial parliamentary system of government(which not even Lenin had the balls to do)
If the U.S.A becomes a Socialist state without democracy, then expect these People's Commissars to hold sway over the government in a parliament styled system of government(although they existed in the time of the Russian soviets, their role changed later on following the Soviet's destruction). They were kind of like the representatives, with a People's Commissariat as the highest form of government in the USSR(post-soviet era).
also from Wikipedia: "...Based on the Bolshevik's view of the state, the word soviet extended its meaning to any supreme body that obtained the authority of a group of soviets. In this sense, soviets turned into a hierarchical structure - Communist government bodies at local level andrepublic level were called "soviets", and at the top of the hierarchy, the Congress of the Soviets was the nominal core of the Union government of the Union of Soviet Socialist Republics (USSR), officially formed in December 1922. However, the Communist Party officially played the "leading role" in society by that time; the soviets were in practice subordinate to it."
hoped that helped.