Lyric discussion by MatC 

I think the "Julia Roberts" line is a figurative reference to someone who is stereotypically "irresistible," at least in a physical attraction sense. Perhaps she is suggesting that the failed relationship that the song describes began as a result of physical attraction, or at least that was a part of it.

Also, in concert, Antje has said that she bases most of her songs on her life, so it could be a sly reference to something that actually happened to her. She looks vaguely like Julia Roberts (y'know, not a lot but at least a little bit) so it could be something that some boyfriend said about her at some point, so she incorporated it into a song about him.

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