Get to indicates you have the opportunity. So, although both mean that you will see this object, get to see it has an additional piece of information. It means that not only will you see it, but seeing it is an opportunity.

You’ll see it is just simply saying that you will see it in the future. “You’ll get to see it” means you will be able to see it but you cant see it now, for example, lets say you want to see my new car that i just bought, but you can’t see it because you live far away, so i tell you “when you come over to my city, you’ll get to see the car”. So its used when you cant do something now but you will be able to do it in the future. I recommend you ask chatgpt these kind of questions, it will explain it better than me