This wasn't as easy as I originally thought it would be - I was planning on just taking the hands off, and putting in a paper over the top. However, the hands were not removable, at least not by me... So, I had to think of a plan B.
I found a bowl that happened to be the exact size of the face of the clock, and traced around it onto my new paper. I found the center of the circle by cutting out another piece of computer paper the exact size, folding it in half and then in quarters, and cutting a hole in the center, large enough to go around the middle post. I lined up the two circle papers and traced the center hole onto the new face. Then I cut a straight line from the outside to the center, so I could slip the new paper around the post, without having to remove the hands. I used double-stick tape to secure it on the face. I couldn't find any cute number stickers that I already had, so instead I used two sizes of hole punches, and used the dots for the number places.
Not bad, eh? I just used paper I already had, and now I have a brand new clock for FREE! I would love to try this again on another clock, and maybe use colors that are a little brighter, and use things like pictures, silk flowers or even jewels for the number spots.