A console app is just another project nearly empty in this case so ya i suppose you could just add in everything you need to you'll end up with a monogame project with the application output type already set to console.
If you want a console window for your monogame project though there is a much easier way.
In Visual Studio click
Project click the drop down and look for
Properties at the bottom
On the left side of the window that opens there is a list click Application
in that window you will see a drop down box labeled Output
click it and select -> Console
run your project and you have a console window in addition to your monogame window.
(you can then print to it as expected with Console.WriteLine(" hello world ");
If you want to hide the monogame window completely i couldn't help with that.