The New Course
This program addressed urgent problems that meant quite discomfort to the society as a whole.
They gave amnesty to political prisoners and abolished the Hungarian gulag, they stopped show trials, and largely halted the prosecution of those whom the Rákosi regime perceived as enemy. So basically everyone. They aimed to stop administrative abuse, the constant arrests, the listing of enemies. Nagy said they wanted to give greater role to the Parliament and the adherence to Constitutionalism.
But beyond the political measures that halted the terror and oppression they had to change the course of the mismanaged economy. As previously I stated (surely I did) in previous posts ITT, Hungary was largely a traditionally agricultural country where the agricultural based secondary industry could shine, but Rákosi govt. followed the Stalinist forced development of the heavy industry, they pursued The Country of Iron and Steel. So they stopped forcing heavy industry, cut military budget, and moved to producing consumer goods. With this they could lower prices and raise wages. They also stopped collectivization - which took private property, such as the land of the peasants they just got recently.