Textbox like DataGridView display and selection

I am not sure if this is doable, but I like how I read into DataGridView a csv and I am able to click on fields and it highlights the whole cell and I can go CTRL+C quickly.

Is it possible to have a textbox that's locked (only program writes into it) appear in the same way? Meaning, no 'selection of text' but whole field is selected on single click?

Do you guys know what I mean?

I already have code on how to copy to clipboard with a button, that's not my question.