As far as I know you can't add your site to Google alerts as part of the service they offer, but you can add your blog as a keyword you want to be alerted to, I don't think you can add it so that it will always be mentioned. If you want your site/blog to be included, focus on specific keywords in your posts...then subscribe to Google alerts using that keyword to test it out and see if you receive any alerts with your blog included.

If you are looking to see if your blog/name is being mentioned elsewhere on the web, then use your blog or name as a keyword and create an alert and you will see where/if it is being mentioned anywhere besides your site.

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