I have a website and in Google Chrome in looks like this:
But in When I use Fetch as Google in Google Webmaster tools, it looks like this:
My website is build with Polymer and WebComponents. I checked the encoding, and it is utf-8. Please, help.
It seems that your website is based on JavaScript for rendering of your HTML.
The Google indexing system renders webpages using the HTML of a page as well as its assets such as images, CSS, and Javascript files. To see the page assets that Googlebot cannot crawl and to debug directives in your robots.txt file, use the Fetch as Google and the robots.txt Tester tools in Search Console
In order to make your website Googlebot friendly you should optimize your JavaScript website for it.
This is a starting guide on the topic:
https://developers.google.com/webmasters/ajax-crawling/docs/learn-more