Is it possible that we can connection File Share with SharePoint Foundation 2013?
So that we can view files and folders on SharePoint.
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If you are asking whether you can leave files in a file share and access them through SharePoint with the out-of-the-box features then the answer is no. There are however, 3rd party solutions out there that you can look at such as the "File Share Library" by Bamboo Solutions or I believe AvePoint also has a solution.
On the other hand, if you are asking if you can access files that live in SharePoint libraries via Windows Explorer then answer is yes. You can map a network drive via WebDAV using your SharePoint URL.