How do I connect to an existing GIT repository located on a network server?

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Git

VS2013

I have an existing GIT Repository - (NOT GITHUB) - located on a Network Server in my work environment. From another computer on the network, I would like to copy all of the .NET source code from the Network Server and then load it on another computer on the same network for another developer to share the coding responsibilities. I would then like to connect to the existing single GIT repository that is located on the Network Server using VS Studio 2013 GIT Tools - (NOT COMMAND LINE). I am new to GIT and would like to know the steps to make this happen. If possible can someone give details on each step to make this happen.

What I have tried:

From the computer where the .NET source code was copied to from the Network Server I tried connecting to a TFS Server without success from VS 2013. I don't know if this was the correct way to try and achieve this, but wanted to see if it would allow me to connect to the GIT Repository on the Network Server.