Following a blog shows authors and readers of the blog that you're a fan, and you can keep track of the blogs you follow via your Reading List on the Blogger dashboard.
How do I follow blogs?
There are several ways to follow a blog. One of the easiest ways is to visit a blog that has added the Following widget and click on the "Join this site" button under the "Followers" widget:
After you sign in with your Google Account (or another account if you so choose), you'll then see a popup window with the options to either follow publicly or privately.
Select how you'd like to follow the blog, then click the "Follow this blog" button. If you elected to follow the blog publicly, your profile picture will be displayed on the blog with a link to your Blogger profile or Google+ profile (if you've opted to link your blog to your Google+ profile). When you become a follower of a blog, the blog will also be added to your Reading List on your Blogger dashboard. You can become a follower of any blog or URL (even if the blog doesn't have the Followers widget) by adding the blog to your Reading List on the dashboard.
How to remove yourself from following a blog
The easiest way to remove yourself from following a blog is to visit the blog, and click Options | Site settings under the Following widget on the blog.
You will then see a pop-up window with your profile settings. Click Stop following this site and you will be removed from following the blog. If the blog doesn't have a Followers widget, you can still stop following the blog. To do so, click the gear icon on the right-hand side of your Reading List on your dashboard.
You'll then see a list of all the blogs that you're following. To stop following a blog, click Settings, then Stop following this site.
Blocking a follower
When you block a follower of your blog, the user will no longer appear in the Followers Gadget on your blog and will not see your blog in their Blogger Reading List. However, since your blog is public, the user can still use the other feed readers to subscribe to your blog, read your posts, and comment.