If you use Google Webmaster Tools you can submit your sitemap to Google, this will help Google crawl your website better. Submitting your website to Google in the link The_Decryptor posted above would also a good start.
Bing Webmaster Tools would also be a good place to add your site / sitemap to.
The more linkbacks you get from other websites to content on your website, the better you will rank on Google. You need to be creating good quality original content all the time.
If you keep posting good quality, original content, often then Google will perceive your site as been relevant and start ranking you higher. Linkbacks from other websites on the same subject area as your website will help with this too. Linkbacks from spammy websites will only harm you.