The Google Domains service was started recently. (It is US-only as of now, but you can sign up to be notified when it is available in your own country.)
Today I saw on Blogger that Google has integrated Google Domains with Blogger. So you can now buy a domain from Google via Google Domains, from within Blogger.
Here are a couple of posts about this:
Custom domains for your blog made easy
Making it easier to get your business online with Google Domains
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