Voltage a 60uF Capacitor will Hold
This might be a nice demonstration, but you do realize that such a capacitor can be bought for ~$0.05? Maybe you should get one, and first try the experiment with a known-working capacitor! That said,


  1. How would I charge the capacitor with a power source?


Connect it. Both the source and the capacitor have two wires, so there is no opportunity for errors.


  2. Will this 60&mu;F capacitor hold this charge? 


If it works it will.


  3. Could I disconnect the capacitor from the power source after it's charged, and will it still hold it's charge for a short amount of time? 


Again, if it really works as a capacitor it will.


  4. How long do I wait for the 5V power source to charge the capacitor?


One second will be enough. But note that before that capacitor can be used it must be 'formed'. That might take longer. I have never done this. The webpage suggests less than a minute.