Ok, so I am not from East Germany, but from the West, but I have been there once when it was still a country of its own (but after the wall fell).
In my eyes the major thing in the DDR was that the state was responsible for everything and therefore the people were quite indifferent. For example you did not have to pay your heating for the amount of consumed oil (or whatever), but you had to pay a fixed price. That means the heatings were always running at 100%, and when it was too warm, you would simply have opened the window. Why not? It didn't cost you anything.
Also, you could not always buy what you wanted. The shops not always had everything in stock, and so if you went into a shop and saw that they had, say, a set of screwdrivers, you would have bought it not because you needed one in that moment, but because you may have needed one in the future but then probably there would be no screwdrivers available.
The car production in the DDR was a bit different from that in the west. You could not go to a shop and simply buy a car, but first you had to order it, then wait about 10 years (no joke!) and finally you would get it. This meant that when children were about 8 years old, their parents would order a car for them...
Another aspect is that the DDR was a quite militarized country. In school, there were classes with military education, and there were military trainings for pupils. Also, as a pupil it was very
useful to be in the state's youth organisation FDJ (Freie Deutsche Jugend / Free German Youth) if you wanted to make something like a career in your later life.
Also important is that the DDR was very interested in what its citizens were thinking
, i.e. it had a huge spyhole organisation, the MfS (Ministerium fuer Staatssicherheit / Ministry for State Security). Any political activity in any way aimed against the state (for example protesting against the state's policy, supporting democracy, etc.) was detected and would lead to long jail sentences. Because of this many people tried to flee the state for the west, and the border to West Germany was the best secured border in the whole world, not to the outside, but to the inside.
That's a brief summary of the most important aspects I can think of. Hope it helps you.