The stick used to play billiards (or snooker) is called a cue stick. It’s meant to help guide the balls into the holes of the table. Depending on what game you’re playing, this could mean you’re supposed to hit the cue ball (the white ball used in a game of pool or billiards) or the lowest ranking number (nine ball).
If you’re playing regular snooker or billiards, you hit the cue ball with the cue stick, using the stick to guide that ball towards the numbered balls and hit those balls into the pockets. This stick is called the cue stick because of the word “queue” - another word for a line. The handle of the stick looks like a long line. That’s really it.