I remember reading the word NEET once in an English newspaper once, but the acronym was detailed there, since probably most people don't even know it's meaning. I never heard it openly either though.
@Field of Lillies. Yeah, actually now that you mention it, it's not that odd if I consider it as a comfort. Fair enough.
@Ihadurca: Her name is O-nee (おネエ) only. Probably it's not her real name, but we don't know about her real name for now.
Spoiler for the translation taken from Kaoru Chujo's blog, and it's translated from the official website:
O-nee おネエ
32 years old. Has been in classes in many departments of the university, but is not really a student. Very enthusiastic, she is in a way Hirasawa's assistant, coaxing and encouraging him.
By the way is it possible to read what's written above the image with the apple? (maybe with the HD version or something, I'm quite curious what's that message is about).