well Google is a search engine.. usually you cant have a direct backlink from google.. instead you are listed in Google's index. To make that happen you get your site listed on some other sites. I have some articles you can read about SEO on my blog in my signature.
Yep, what daones said is true. Instead you should network with similar websites to yours and build back links. Then, to examine your backlinks, use Google Adsense - this article will help you get started: http://theworldthroughmyeyes.com/2007/12/google-analytics-for-n00bs-using-statistics/
Let me explain to you what backlinks are, they are inbound links to your website for other websites. These can be achieved many different ways. Some webmasters exchange links with other webmasters with related site content. Usually if you have valid, useful & unique content you'll grow backlinks naturally by people linking to your site.
Yes there is lot of ways to get better back links like some of them: Articles and article submissions Directory submissions social bookmarking.....etc