My main site does get search engine traffic. But it took quite a while (and lots of link building) for it to start coming in.
I've only had this blog for a short time - less than two weeks. I've got a couple of baklinks up so far, but I'm already getting search engine traffic to it.
Just shows the advantages of getting a blog in general, and a Blogger blog in particular. Google owns Blogger, and so it indexes its blogs quickly.