You can use this url. But remember they only index site that are properly optimized, having enough contents... http://www.google.com/addurl/
If you want to submit the site to Google directly, you need a Google webmaster tools account. Good luck
Use google webmaster tools, but I wouldn't directly submit through a submit page. It's been said that direct submission delays indexing. It's better if they find your site through links on the web.
Easiest way is just to submit and verify your site at Google Webmaster Tools https://www.google.com/webmasters/tools/ . Then use "Google XML Sitemap Generator" plugin to generate a XML compliant sitemap of your blog in format that is supported by Google, Yahoo and other search engines. Add that sitemap to your Google Webmaster Tools account. This should get your site indexed. Then build quality and keyword-rich content and build inbound links from quality sites to start ranking for relevatn keywords.
http://www.google.com/addurl/ submit here and use google webmaster tool ans submit your sitemap through it
If you are using WordPress for your blog (and really, who isn't these days), then you do the following: Step 1: nothing Step 2: wait Every post you make will ping the various blog services out there, and in a day or two Google will sniff you out. Also, if you use Google analytics, Googlebot will be knocking withing minutes of your first visit. It's not like the old days where you had to manually tell spiders of your existence. The search engines are clammoring for new content.
You can submit url to Google, ping your sitemap to Google, ping your blog to many ping services and submit article to article directories to get your blog indexed.
submit your blog here http://www.google.com/addurl/. you may also submit your blog in google webmaster tools