In the phrase cue the music, “cue” (not “queue”) is the correct spelling.
You say “cue the music” to instruct someone to start playing music at a specific point in a stage performance (e.g., a play) or a live broadcast (e.g., a  radio show) or to add music to video or film at a specific point (e.g., “We should cue the music here when she opens the curtains”).
When deciding if cue or queue is the correct spelling for a particular context, it’s important to make the right choice because the two words have different meanings.
Use QuillBot’s free Grammar Checker to help you use commonly confused words such as cue and queue correctly in your writing.