Is it normal to love someone who you didn't really get along with?

I've recently broken up with my first ever girlfriend. We broke up because it was a long distance relationship, and she was finding it much harder than me to keep thing going. We ended things last week but said we'd still be friends.
I've gone through mixed emotions; sadness, thinking its for the best, wanting to talk to her again and make up, getting annoyed with her, blaming myself etc. And I've rationalized things a lot.
I've come to the conclusion, so far, that I don't miss her. I miss having a girlfriend. Our interests weren't the same, I struggled to be myself around her but 'went along with it' for the sake of never having had a girlfriend before, and I think it eventually reached a stumbling block. Sure, I fell in love with her, but I think that blanked out everything I felt at the beginning of our relationship, and stopped me from looking back upon myself and considering whether she was right for me.
I love her, but the things I loved about our relationship were all the things which come with a relationship, and weren't really about her personality.
Is this normal?