Copy the directory and all files from the archive to the directory /wp-content/plugins/. The paths of the files must be:
/wp-content/plugins/feed-reading-blogroll/
After that, go to your admin-dashboard and activate the plugin.
Furthermore, the plugin will create a JavaScript file in your WordPress content-directory (normally, this is /wp-content/). Therefore, this directory must be writable (chmod 777) at the moment, the Javascript-file is created for the first time. After that, the content-directory does not need to be writable as far as this plugin is concerned. I would recommend the following procedure:
/wp-content/ to chmod 777, e.g. by using your ftp-client./wp-content/. You should find a file called feedreading_blogroll.js in it. Perfect! The plugin will now be able to overwrite this file, even if /wp-content/ is no longer writable, so …/wp-content/ back to chmod 755.