Taiyou no Uta

http://wiki.d-addicts.com/Taiyo_no_Uta

A girl who comes out only after sunset, a guy who enjoys nothing more than to go to the beach at the break of dawn and surf. These two should not have met, but already fate has connected these two people. A girl inspired to become an artist in the time she has left, a boy who hid away his music because of the pain and memories of it. Fate brings these two together, people from opposite worlds, to change both of their lives forever.