This is also known as blogroll in blogger.Show off what you read with a blogroll of your favorite blogs. Now blogger add this widget in there gadget section.You can add this widget from there in your blog. Follow these steps to add this widget.
1. Login your blogger account.
2. Click Layout.
3. Click Add a Gadget, where you want to place this widget.
4. In the popup window Scroll down below in Basic section.
5. You will see Widget having title Blog List Click this widget.
6. Add blogs you want to list in blogroll by clicking ADD TO LIST.
7. Choose values like Title of most recent item,Thumbnail of most recent item,Snippet of most recent item,Date of last update.
8. Finally save widget, see you blog.