Although we don't have a full blog integration, users have the ability to add their tumblr or medium blogs to their navigation using social profiles.
To add social profiles to your navigation, head over to the Navigation section of your editing remote. Choose Social Profiles and make sure that is toggled "on". From there you can choose which social profiles or blog pages you would like to appear.
If you would like to change or edit the link that the icon goes to, click the gear to the right of the social platform name.