Here is an article that discusses ways to connect, which is the first thing you should know:
Working with SQL Server Logins[
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To keep things simple I would recommend starting with "Windows authentication".
If you need example connection strings, take a look here:
SQL Server 2008 connection strings - ConnectionStrings.com[
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The
DotNetPerls site provides some good starting tutorials, look at:
[
www.dotnetperls.com/sqlclient]
Here is an interesting article which I found under "top articles" in CodeProject:
SQL Server Database Development in Visual Studio[
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Sadly the author does not mention that depending on your version of VS 2013 you may need to install SSDT tooling for VS 2013.
Also this article does not show how to work with the database you created.
But nevertheless it shows some interesting techniques.
Of course there are lots of ways to work with SQL Server from VS 2013, good luck !