yes, if the name of your blog appears in a post or on your "About" page, it should turn up on WP search. The simplest way to do this, and I've seen this on several WP blogs, is probably "Welcome to [name of blog]" on the About page.
What you don't want to do is write the name of your blog simply to get it picked up by search. That would be word spamming! The reason I mentioned the two examples of my blog turning up in WP search was to make it clear that I had relevant reasons for writing the name of my blog in a post. If you do a search on WP of some of the blogs that appear on the home page, you'll see that they refer to themselves just a few times. But the majority of the results are other blogs linking to them by name. That's much better, of course!
While it's true no one would search for "Blabberista" if they didn't know about it first, I do have quite a few search referrals for the name of my blog. Perhaps people heard about it and remembered the name?
your original question brings up another question, how can we search for WordPress.com by name?