Are you asking how to publish your content on Google Sites?
If so, go here and follow the instructions:
If you are asking “how to get Google to index your website in their search index, then all you need is a blog pinging service like Ping-o-Matic!
By the way, Ping-o-Matic is already built into popular blogging software like WordPress.
If you are looking for ways to get into Google’s sponsored search results then you need to open an AdWords account. AdWords is a self-service platform for advertisers that want to advertise on Google-owned, or affiliated, properties.