I think Annalee misunderstood the article a bit. When a species is a kleptoplast, it steals chloroplasts from other organisms. Not genes, though often it would have had to incorporate some of the genes from the alga or plant which had the chloroplast in its own genome.
The linked article is correct, but it might be a bit difficult to understand. Carl Zimmer usually writes well about stuff like this: [blogs.discovermagazine.com]
