I assume a good knowledge of C# and no knowledge of Unity. If you know how the A* search algorithm works, you’ll probably be able to read all the code without any problems.
You can access the tutorial here.
The source code and Unity project file are available here (7zip).
A Windows binary is available here.
A Mac binary is available here.

Screenshot of the result
To see how you can take path-finding and Unity further, have a look at Hexagonal grid: Path-finding using A* algorithm and the other tutorials there.
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