Yes. Every trans person feels that exact thing. I can only tell you that I am feeling better in myself than I ever had my entire life. Finally admitting and facing who I am allowed a mental freedom I did not know existed. I am on hormones and will fully transition when I can. Knowing what my path is doesn't really make being in society feel any easier though. I'm MTF so right now I'm getting confused looks as mostly I'm not presenting female, I'm just starting to show feminine changes. I always have this fear in the back of my mind, "what if I can not pass when I do try to live my life, my real life?"
That fear is there but for me anyway, I knew I would not make it another decade feeling like I was. Gosh, thinking about that, it seems like a distant memory. Almost like I can't remember the feeling itself.
If you decide to go on HRT I suggest start low dose at first. My endocrinologist likes to do it that way so the person can tell for certain if it helps their life before committing to full dosages. For me getting the right hormone in me for the way my brain is wired was like a paradime shift in my well being. I was already very low T so the E hit me within the first hour of taking it. I was driving home and just suddenly realized I felt almost happy for no particular reason. It was awesome after so many years of flat, blank dispair. Of course prior to taking that first pill my hormone levels were low enough I was basically experiencing PMS. Soo glad that's over! I'm now on a full dose and feel better than ever. If I can ever get over my social fears and let my inner self show I can only imagine what life can be like.