Sure, it can be normal. Just like any person might be interested in what others write about them or their alter - ego. It's a way to connect with the fan community on a different level.
Well, it could be a way for the daredevil to see how others perceive their character. Maybe they find it interesting to see the different scenarios and relationships that fans come up with in the fanfiction.
I'd recommend starting with 'Daredevil: The Man Without Fear'. It gives you a clear understanding of how Daredevil came to be. You get to see his origin story, which is essential for getting into the character. The art is easy on the eyes and the story is well - paced for new readers.