Is it normal to feel this way after the love of my life broke my heart?

It's hard to know when you're still in the middle of it. I've had ex's I thought I'd love forever, but barely remember now and others I miss and dream about all the time (even though I'm happily engaged). In each relationship you're risking giving a little piece of yourself you may never get back, but either way you have to get this person out of your life. You may continue to miss them, but at least you'll have a chance at happiness and it's obvious that this person will never provide you with that! Good luck!