Hi Robert,
I am really sorry for the delay of this reply as it is a weekend for us here and I forgot to describe how the integration work.
Check my screenshot below. if you installed that plugin, it will show the blog menu in Jomsocial toolbar, so that user can very convenience to view their blog post and create a new blog post.
But when you click on the "write entry" link from blog drop down menu, it actually bring you to Easyblog creation page, after you submit a new blog post, it will only appear on JomSocial dashboard wall and your profile wall only.
Hope this time my explanation will help you understand the plugin task.