I happen to disagree with most previous posters, as, I must confess, I loved this story.
First of all, to denounce any bias against my being an english learner, I will say that I consider myself fluent (moreso than most 'mother-tongue' recipients). I would also like to say that, in my native language, writing in second person is an art seldom mastered by aspiring authors, but when promptly done it causes immediate admiration. It is mostly, though not exclusively, used in poetry. You can call me biased. I'll think of myself as cultured :P.
For the sole sake of contradicting and making it obvious that I disagree, I will say that I do believe this short story has a plot, and a somewhat ambiguous main character (which I believe is one of the [un]intended purposes of this narration style). I believe it is excellently written, and not once did I think of the style, nor the author's intentions, as arrogant, nor conspicuous.
This story is different, and I, for one, cherish that which stands out from the crowd, however daunting it might seem.
Maddy