This post is about the Goth Idoru doll, as you've noticed. I think it's a mix of gothic and punk lolita. If you know the japanese trends, then you know what I'm talking about. Otherwise - click for goth lolita and click for punk lolita explanation.
It has elements of both - for example, the platform shoes. Those are pretty common in both styles. They're more gothic than punk really. Picture: