It sounds like you're off to a great start so far and I mean that sincerely. I'm 27 years old and was diagnosed on September 2nd of this year so in many ways I understand how you're feeling and what you're going through.
1.) The fact that you're worried and scared is a good thing. It means you've acknowledged your diagnosis. Many people can live in denial for years.
2.) You've joined this forum. Becoming a member here was one of the most valuable decisions I've made in addressing my diabetes. There is a wealth of information on here that will help you understand what is happening inside your body and what you can do to control it. There are also thousands of members on here just like you and me that each offer their own unique perspective and want to help as much as they want to learn.
My personal advice on what to do at this point (not to be misunderstood as medical advice):
1.) Start reading- 3 months ago, I didn't know the difference between type 1 and 2. Now, I can speak on a high enough level that you probably couldn't tell if I've had diabetes for 3 months or 25 years. I spend 2-4 hrs every day reading. It may sound excessive, but I've become very passionate about this disease.
2.) Be patient- in my first two weeks after being diagnosed, my average glucose level was around 22. Now, I freak out when it goes above 8. Take your time learning how to manage your carbs and insulin. Soon enough, you'll learn what happens when you over correct with insulin. You'll also find out what happens when you over correct and over correction (it will make sense eventually).
3.) Embrace this life change- obviously, you don't have to be happy about it, but the sooner you accept it as a part of your life the better. Personally, I'm not ashamed, I don't feel sorry for myself, and I'm not embarrassed about it either. There's no reason to be.
4.) Don't scare yourself and read about all the different types of complications- yes, there are complications that can arise and yes you should know what to look for, but you shouldn't scare yourself by reading a bunch of stories about them. With proper control, there's no reason why you would develop any sort of complications from diabetes.
5.) Your doctor shouldn't talk to you. Your doctor should talk WITH YOU- in every one of my doctor visits I have a discussion with my doctors rather than wait for them to tell me what to do. Before each appointment, I prepare questions and ideas to discuss with them. I trust their expert opinion, but I'm the one that has to live with the disease. In most cases, we agree, but when we don't, I want to know why.