When I was that age, I was able to make friends organically just by being around the same people in school. I think it usually involves someone outgoing reaching out to you and it goes from there. If you are in high school or college, I'm sure it can happen for you as well. I admit it always was not easy as sometimes there were people I may have wanted to talk to but backed out because I stutter, but thankfully other times I did. Best of luck, but don't accept a life of solitude if you don't want it. Some people really don't care that we stutter and mine is really bad. If you need more motivation, watch ted talks of people that stutter and they'll share their stories.