Like most characters, Daredevil's first comics don't much resemble the character you see on TV. Beginning in 1979, Frank Miller's work on Daredevil reinvented the character, and makes for a much better starting point than than Daredevil #1 for those that want to begin at the origins of the character.
Daredevil by Frank Miller & Klaus Janson 1-3 and Born Again:
My personal favorite Daredevil series began in 2011. This is a lighter, funnier style, that still makes for a great, quintessential Daredevil story:
All books from Daredevil (2011) by Mark Waid:
Recently, the event Secret Wars ended, and every series started again after an 8 month gap in the story. During those 8 months Daredevil was somehow able to make the world forget his secret identity. If your interested in getting into current Daredevil, this is the place to start:
All books in Daredevil (2015), in reading order: