While the scene is iconic and the song itself is humorous and well-known, there is no official sheet music available for "Goodness Gracious Me" as it was created specifically for the movie.
The song is more of a comedic improvisation and doesn't have a structured musical arrangement like a traditional song.
However, you might find some amateur arrangements or transcriptions online if you search specifically for "Goodness Gracious Me sheet music" or "The Millionairess sheet music." These might be fan-made and not officially sanctioned.