Now that I have a website, how do I get it on Google?
A one stop shop for webmaster resources from Google that can help you .your site, connect with visitors, and find answers to crawling and indexing questions.
Submit content to Digg and del.icio.us.
You should also create a sitemap.xml file and place it in your root directory (yoursite.com/sitemap.xml). All search engines are looking for that file when scanning your site. Creating the sitemap file is really easy.
If you're a WordPress user then you can automate this with Google XML Sitemaps.
Also check out, How To Create A XML Sitemap In 4 Easy Steps
Also create a sitemap.xml file
Both answers above are great. Simple way to start. Share links with other sites. Ask them if they will list your site if you link theirs. Send it to friends, make it part of your signature on your emails and work to get some traffic to your site. Update it often and add relevant content that people would share with others. Share it on social networks. Google will find your site no matter what. Probably sooner rather than later, but how far up the list depends on how search engine optimized it is. You could be already be listed, but if your site appears on page 46 no one will find it anyway.
The best way is to use Google webmasters Tool. Login there and submit your website with sitemap. Make sure, you make sitemap.xml file and store it in your root directory. Also, make valid robots.txt file. All these will be verified by google webmaster. In case of any error, the same will be reported on screen after some time. All above, have patience. Google will take few days to index your website.
The same procedure has to be repeated for other search engines like Yahoo, Bing etc.
Check out this article to learn how you can submit websites to different sources:
By having good SEO - Search Engine Optimisation.
This can be down by having other sites linked to your sites, or simply going to http://www.google.com/addurl/?continue=/addurl
You may also want to check our http://www.createasuccessfulblog.com for blogging tips and help.
Just go to http://www.google.com/addurl/ and add your website's address. Google will send out the bugs to crawl your site and index it!
Check out this MUO article By Gary Reichel.
There is a section that briefly explains what you have to do.