Is it normal i’m not over my ex?

It all started a couple of years ago. College was very stressful for the both of us, and at times i would find myself angry, and taking it out on her. It was a very confusing time.. over the following 2 months, we would become more and more distant. Our time together on dates seemed vaguely pointless, and i began thinking didn't need her. When she changed all of her social media passwords, i became suspicious. She started hanging out with other guys, and when i asked her about it, we would end up arguing, causing a scene infront of other people. One of her friends invited me to her apartment, we got drunk, and we had sex. It turns out that it was a giant test. The girl told my girlfriend, and we broke up the following day. Over the year that followed, i stopped dating and started hooking up with girls to take my mind of things, to get over her. Nothing worked. I began dreaming of her, and our past dates from when our relationship was healthy.. she looked so happy, the way she smiled as we held hands, the bright sun beaming onto the grass field and roses as we walked... The smell of her perfume as we kissed for the very first time. Even now, as i type this i tear up a little. She was the love of my life and i didn't realize it until it was too late.