Getting right to the difference between refresh rates and frame rate…
60 Hz and 60 FPS (frames per second) are interrelated, but not the same thing. 60 Hz refers to the refresh rate of your display while 60 FPS is the number of frames per second rendered by your PC or console.
To put it another way, the frame rate determines how fluid any particular game is while the refresh rate of your monitor (or TV) will dictate how smooth a game will appear.