It better to user Nuget and install MySql.Data from there than install .NET connector. First of all use of connector will cause the situation that you need to install connector to your server environment. Also, if tomorrow you will install new version of connector locally you should reinstall it on server also (you cannot have 2 versions of connector to be installed on same machine, so web applications that user older version will stop working).
All you need to do it's use Nuget Packet manager, search for MySQL.Data and install it. Also (i dont remember its by default done) you should go to property of this reference in solution and set it to always copy locally. That's it, all should work.
[Update]
Also, to navigate in mysql is better to use native mysql tools, like MySQL Workbench. It has much more possebility
