It's normal for the pedal to stay on the floor; you have to physically pull it back up, and that's where it draws new fluid into the system (you'll see the reservoir level go down as you do this).
The preferred method for bleeding the clutch is to hold the clutch pedal all the way down, then get a friend to open the bleeder and allow the pressure on the clutch itself to push the fluid out. Then close the bleeder, lift the pedal, push it down and start again. Don't pump the pedal because this will make any air in the system form tiny bubbles which spread throughout the system and are harder to get out.