Reading over some MVC documentation at https://msdn.microsoft.com/en-us/library/ff398049(v=vs.100).aspx, I noticed several people complaining that they couldn’t see the database after building the application. I went to my App_Data folder and I saw the same behavior – no database. Even restarting Visual Studio didn’t reveal the database.
However, you should be able to view the database by right clicking on the App_Data folder and selecting “Open Folder in File Explorer”.
You can also click on the “Show All Files” icon, and should reveal it as well: