I think that to some extent some compositions come naturally. Dv2 you may well have just snapped the photo but some decision no matter how self conscious probably made you take it in a certain way.
I totally agree with you. Photography should be all about having fun and getting out there and enjoying it. We all see and are inspired by different things. A friend that i go out with sees compositions wereever he goes whereas I tend to see things more in the nature of colours and then compositions. I have been an artist all my life so looking for a composition is something that i just cannot turn off but we all learn it in our own time. By taking lots of photos we learn (even if we dont realise it) what works and what doesnt. Try lots of different things. It is lifes best teacher