I was gifted Netflix streaming for 6 months, and while I enjoyed seeing some of the animated DC movies I had missed and re-watching "The Man from Earth" It was devoid of new releases or current season TV shows.
They have two of them now: Orange is the New Black, and House of Cards, both not only new releases but exclusive to Netflix (and on top of that, they release the whole season at once, instead of the archaic and idiotic practice of making you wait a week for each episode). Obvious, this is also monopolistic in a way, but that's the market they're in and that's what everyone else is doing, they're just doing it better.
Anyway, Netflix (other than those two) isn't really in the business of having current-season TV shows (probably largely because the networks won't allow it, not because Netflix doesn't want to). However, Hulu(/Plus) does have some of those.