GUI with "scrollable label"?

Hi, I'm writing a program that transfers files from a folder to another. What I want to do is to somehow list all the files that it's transferring as it goes. This works fine in console, since I can just use System.out.println. However, now I need to somehow achieve the same result through my GUI. Just to be clear, I need to be able to scroll up to view files that have already been transferred.

I'm really stuck at this, and would appreciate any form of help or guidance!

IMO the easiest way would be to use a JTextArea, attached to a JScrollPane, and simply append the data to the underlying text area and repaint. Alter the textArea by setting the setEditable to true (I think that's what the method is on it :/).

I'll try that, thank you!