I have read the entire current New 52 run, it is horrible and it is nothing like the show. It is WAYYYY BETTER since Lemire started writing it at issue #17 I think it was. No need to read anything before that. The show and this comic series are not much alike at all, I watch the show also. I enjoy the show and the current Lemire arc, but there are too many differences to relate them. Characters are different, origin is similar but still different, personality is way different. I DO recommend Lemire's arc if you are looking for somthing new to get into though that compares to the show. To answer your question that I think your asking though, NO you dont have to watch the show to read this arc or the comic to watch the show.
BTW - I am talking about the title Green Arrow vs the show Arrow. There is also an Arrow comic title that IS based on the show. I do not read it now care to read it. Reviews on that title have never been horrible but I have no interest in that title nor can I recommend it.