A handwriting-based User Interface (UI) apparatus and a method for executing an intended function menu using notes stored in a user terminal supporting a handwriting-based memo function are provided, in which upon user request, a note that has been written by the memo function and stored is retrieved and displayed on a screen. A whole or part of the contents of the displayed note are selected by a first input form. The contents of a note written on the screen by the memo function is designated as a command to execute for the selected whole or part of the contents by a second input form different from the first input form. The selected whole or part of the contents are processed according to the command.