If you are actually able to move the type and edit it with the Type Tool, View>Show Bounding Box + Show Edges.
If not, it may be time to delete the preferences during startup, or to Move the folder.
The latter method is more thorough, and is reversible, so you do not lose the preferences if it does not help.
To add to Jacob's insight if you have hide edges turned on then although it does not look like you can select the type you actually can the way to find out is to click anywhere in the text string and start typing if text appears then hide edges is the problem and just hit the keyboard shortcut Jacob posted. If no text inputs then you have t reset your preferences.
Thanks so much. I was having the same problem and Show Edges worked.