When you right-click while holding the compass you’ll bring up the selection GUI to pick which biome you want it to find. You can also use this menu to see additional information about any particular biome.
And once you have your biome selected, it’s time to set out to find it. The coordinates are listed on your screen as well as the distance away from it so you’ll have no trouble at all heading in the right direction. Just keep walking in the direction in which the distance number is decreasing.