You're saving the text in text box, which would be whatever the player decides to enter as their name.
You can add the action go to next layout in the same event.
Have you done the beginner tutorials?
Sadly, I haven't because some of the things I'm looking for aren't there.
EDIT: OK so I programmed it in the same action, yet the button is broken? It doesn't seem to do anything. I have the following:
Button- On clicked- Set Name to Textbox.text
- Go to layout 3
It won't go to layout 3.