Obviously he continues to learn after getting the suit in both versions, but everything in Man of Steel just seems to come to easy. In Man of Steel, he basically is Superman by birthright and that's that. It undermines the message of the film somewhat. In the original he was born with great powers, but he doesn't really understand them. He isn't Superman solely because of his origin, but also because he spent 12 years training with his father to become Superman. It is more of a journey to get from Clark Kent to Superman, and in that sense it seems that he does more to earn being Superman than he does in the remake.
It is also a big part of the reason I like Nolan's take on Batman. He didn't just magically become Batman when his parents were killed, but there was a twenty year journey afterwards in which he slowly grows to become Batman.