Local Google+ page is quite different from other page categories. Main benefit of this page is Customer can easily find out physical location for your business. You can create and manage this page same as business page.
You can merge your business page with local Google+ page to verify your business page to be found across Google including search and maps.
Here are step by step information to merge those both pages: http://todaymade.com/blog/merge-google-local-page/
