Merhaba! Forumuza hoş geldiniz!
I am glad to have a fellow student here. I hope you enjoy your course of Turkish and that you end up loving it as much as we do here.
I am not very well acquainted with Turkish cinema, so I will leave that section for other users to answer.
I recommend you the poems of Yunus Emre, he is a very well-known Turkish mystic poet of the 13th century. You can read here a short biography and some of his poems translated into English:
http://www.poetry-chaikhana.com/E/EmreYunus/.
As for music, it depends on the kind of music you like. If you like pop, the most well-known singers are: Tarkan (obviously), Serdar Ortaç, Sibel Can, Sertab Erener... There are some rock bands as well like Manga (the Turkish linkin' park), Seksendört, etc. For Bob Dylan-like authors try Ahmet Aslan or Ahmet Kaya.
I think the most famous authors overseas are Elif Şafak and Orhan Pamuk. I like Pamuk's book 'Snow', a good recommendation from our dear Mert, and I recommend it to you as well.
If you need any further information or help, let us know!