Well, if the user cancels the browse dialog, this is equivalent to the statement
Import[$Canceled]
Can you think of a way so that my program doesn’t return that error when the user cancels the dialog?
The only thing I can come up with now is a Switch statement:
If the user completes the Import, than get the values of content. (Assuming that a text string is to be imported)
If, on the other way, the user cancels the dialog, than print the error "You canceled the dialog":
If content === Null then the import was cancelled. (Throw/Catch is usually better than a Null check especially if the Null has to be passed/checked up the call stack). You will have to decide how to deal with it in your GUI.