That part is a lie, Hitler was no Stalin in running government, meaning he was not the one who ran everything and oversaw people the way Stalin did. More delegate and since the government barred any other party in July 33' other than the NSDAP to be in government it was clear that opposition would not happen, in addition the left wing of the party was wiped out in June of 34' (Night of the Long Knives). Those in the inner circle would run certain areas of government and assist in the change that Germany needed to take.
Key members
Walther Funk - Reich Minister of Economics, head of Reichsbank and later ran the central planning board in 43' when the economy fully switched to wartime.
Joachim von Ribbentrop - Foreign Minister (key player in getting pac with U.S.S.R and talks with U.K)
Albert Speer - Chief Architect (later Minister of war production during the war)
Joseph Goebbels - Reich Minster for Propaganda (Later a main speaker for Hitler later in the war)
Martin Bormann - Head of the Nazi Party Chancellery (a tricky guy indeed)
Rudolf Hess - Deputy Führer (later replaced by Martin Bormann with title change, helped pass laws and assisted Hitler in his office)
Herman Göring - Head of the Luftwaffe (founder of Gestapo and deputy to Hitler from 41' till the last weeks of the war)
Heinrich Himmler - ReichsFührer of the SS and later Minister of the Interior in 43'
Wilhelm Keitel - Field Marshal of the Wahrmacht
Erich Räder - Grand Admiral of the Kriegsmarine and Reichsmarine until 43' replaced by Karl Donitz
Karl Donitz - Grand Admiral of the Kriegsmarine and Reichsmarine in 43' and Hilters actual successor after Hitlers/Goebbels death
In the years between 34'-38' were mostly consolidation of power and structure in the NS hierarchy, very much improving it as well as trying to get the Jews to leave Germany by making it clear that they are not wanted.
The Economy 33'-41/42'
National socialism erected a system of production, distribution and consumption that defies classification in any of the usual categories from my understanding. It was not capitalism in the traditional sense: the autonomous market mechanism so characteristic of capitalism during the last two centuries had all but disappeared.
It was not State capitalism: the government disclaimed any desire to own the means of production, and in fact took steps to denationalize them. It was not socialism or communism: private property and private profit still existed.
The NS system was, rather, a combination of some of the characteristics of capitalism and a highly planned economy. Without in any way destroying its class character, a comprehensive planning mechanism was imposed on an economy in which private property was not ex-propriated, in which the distribution of national income remained fundamentally unchanged, and in which private entrepreneurs re-trained some of their prerogatives and responsibilities in traditional capitalism.
Cutting females from the workforce, changing unemployment status, rearming, buying jewish run businesses and selling them at a discounted rate to Germans, allowing capitalism to still exist. Allowing German to own firearms by deregulating it in 38'. These are some of the things that turned things around in Germany and based on first hand accounts, most Germans were happy to have bread on the table, a car, a job in the factory, children in the HitlerJugend, money in their accounts. A county respected. Most Germans trusted Hitler and liked and believed him more than the NS hierarchy (politics is a mess to deal with regardless of the system used).
I hope this proved helpful as my knowledge has picked this up over the years of reading.