I enjoy reading Quran, not because it's been commanded to do so, simple because I'm a technical man and I enjoy learning the amount of wisdom presented in this book. However, there are reading rules, one of which is to stop at specified places. What if I don't follow those rules? What happens? Is it sin? Does it change the meaning because stops act as semantics for separation of parts?
When you speak English you have full-stop, In Quran you can notice that with Ayah marking. In English you also have comma (,) but in Quran you have these pauses indicated to have more meaning through the tone.
If you dont stop/pause at those places, for a listener who understands it, it may occasionally make less sense to no sense on the statements you are reciting. So right pauses and stops make it more meaningful and more natural for the speaker who speaks from heart as well as the listener who listens with attention.
So following those pauses/breaks is like giving the words of God respect from your heart.