Do I get more cards if my hand is empty at the end of my turn?
When you get to your draw step, you must draw a single card, unless some effect lets you draw more or less. If you attempt to draw a card when your library is empty, you lose the game.

Even if your hand is empty, the rules remain the same, and you still only draw one.

Here is how the comprehensive rules states it.


  The draw step is the third step of the beginning phase.
  
  
  Draw Step
  
  504.1. First, the active player draws a card. This turn-based action doesn't use the stack.
  
  504.2. Second, any abilities that trigger at the beginning of the draw step and any other abilities that have triggered go on the stack.
  
  504.3. Third, the active player gets priority. Players may cast spells and activate abilities.