Yes! Well, you should at least get it onto your website at the very minimum. Google Webmaster Tools gives website owners valuable insight as to how their website is interacting with the web and overall health of a website.
Google wants the community to really understand the technical behavior of their websites so they can properly market them and drive valuable targeted traffic. Not that long ago Google launched Webmaster Academy where website owners can learn even more about the interaction of their website and the technology of Google.
Here are some important reasons why you might want to use Google Webmaster Tools: