Since its a Google site, just remember that whatever SEO tactics you employ must comply with Google. No Black Hat Tactics! Second, the site must also have the following:
1. relevant content and link it with the URL and internal links to other posting
2. Try to backlink with other blogs.
Wordpress may give you more flexibility than Blogger.
Three things one has to concentrate to gain traffic through search engine optimization. First is relevant and quality content on a particular keyword usually related to the product/services. Second is link building, link exchange and reciprocal linking so more sites will be pointing to your site as reference. Last one is social media participation so people who have an account on these social media sites will get to know your site.
What everyone said on this thread is correct. I have been a off-and-on blogger and one big lesson I learn is that is consistency - you constantly have to create content and content that your visitors care about!