Getting your blog listed in Google takes a little bit of work, but thankfully with Word Press' search engine friendly nature you're already half way there.
Word Press SEO (Search Engine Optimisation) Plug-ins
There are a number of search engine optimisation plug-ins available for Word Press. If you're looking for an 'all-in-one' solution for convenience, then Word Press SEO by Yoast plug-in is a worthy choice. It provides easy configuration of meta tags, ping backs, xml site maps, as well as an easy way to edit your robots.txt.
Site Map
A sitemap is a list of all the pages that make up your blog. Search engines can then use this map to easily crawl through your website. If you're using Yoast Word Press SEO plugin with the sitemap option enabled, your sitemap will be located at 'www.yourdomain.com/sitemap_index.xml'. Sitemaps can also be generated manually via online tools, however you would need to regenerate the sitemap each time your website content changes. Using a Word Press plugin to automatically regenerate your sitemap each time your content changes is a better way to go.
Once you have a sitemap, you need to add its path to your 'robots.txt' file, in the root of your web directory (ie. //www.yourdomain.com/robots.txt). Your robots.txt should contain the following:
sitemap: //www.yourdomain.com/sitemap_index.xml.
The 'robots.txt' is one place a search engine may look for finding out information about your site.
You can also submit your sitemap manually to a search engine. Most search engines provide a suite of webmaster tools which enable you to specify the location of your sitemap.
Pinging & Update Services
Pinging is a way to let search engines and other websites know that an update has been made on your website or blog. You can manually ping your site at websites such as Pingomatic or Pingoat. However most common blog software platforms provide automatic pinging services.
To enable pinging in Word Press, in the Admin section, navigate to Options / Writing. Entries can be added to the Update Services box. By default, Word Press pings '//rpc.pingomatic.com/' only, but you may want to add other ping services. I've compiled a list of ping services here.