It isn't two words "country side", but one word - countryside. It describes the land, not life there. We might say "country life" or "life in the countryside".
The origin of the word countryside is apparently that mountains and valleys "divide" land, and so this kind of rural area became known as "countryside" because the land was on one side of the valley/mountain or the other.
So "side" is not a suffix that means "view", and you can't just add it to another word such as "city". For that, we have the word cityscape, similar to the word landscape which can describe almost any scenery.