My husband has gotten me hooked on her. I find it really sad that too often she's lumped in, and assumed to be of the same caliber, as Britney Spears, Justin Bieber, Miley Cyrus, Ke$ha etc.
First of all, she actually writes all of her own songs. Unlike these others, she really does put forth the effort. In fact, she's written for Britney and a few others. (Though I do give some props to Cyrus for at least admitting she doesn't write a lot of her songs. I don't mind if artists don't write their own songs, but at least admit it.)
Second, her songs are actually very good lyrically. Unlike Ke$ha's catchy hit "Tik Tok", Lady Gaga doesn't just sing about being a drunken whore. They're actually pretty interesting to listen to.
She's a great artist, and definitely a league apart from those she gets lumped in with.