It's quite normal to have a little confusion about whether it's called Blogger or Blogspot because this blogging platform is accessed at Blogger.com domain whereas your blogs are hosted on blogspot.com subdomain . So to make things clear just remember that Blogger is the blogging tool that let's you write your blogs and Blogspot is the free domain where your blogs are hosted .
Blogger is the blogging platform that let's you manage your blogs for free without you having to worry about server management and all that technical details of hosting a blog.
Blogspot is free domain service that gives you free subdomain to host the blogs that you create on Blogger platform . This process is automatic so all your blogs are hosted on blogspot subdomai