You do not need to contact Google to become part of their search engine. Google and other engines use spiders to index webpages, and only the search engine will decide what keywords are used and what rank you get.
Meta Tags which were once used to identify keywords are now ignored by Google. Hint: You can set your title and description meta-tags, and search engines might choose to use them.
Google still offers tools so that you can be sure your site was considered:
Submit Your Content to Google
You can also purchase a high rank for specific keywords, called sponsored links, and other services provided by Google:
About Google Services
Here is a helpful article by Google explaining how indexing works:
Crawling, Indexing, and Ranking.