In order to understand the Visa-free access you will have once you obtain your Greek Golden Visa, here are some terms to keep in mind:
In summary, the European Union is a political and economic union, the Eurozone is a monetary union, and the Schengen Area is a region with free movement of people. Not all EU member states are part of the Eurozone, and not all EU member states are part of the Schengen Area.
With your Greek Golden Visa, you will have Visa-free access to the members of the Schengen area which are: