Operating Sharp memory LCD with Arduino
As the page Sharp Memory LCD Breakout A2 shows, it seems that you need some additional circuitry to drive the display, such as capacitors and resistors. This is why breakout boards are usually employed. Quoting the page:


  This is a simple breakout board for Sharp’s new Memory LCD displays (
  LS013B4DN02 and LS013B4DN04). It brings all pins to a 0.1″ header and
  provides necessary caps and resistors. The new revision A2 also adds
  an optional boost converter for those wanting to run 5V display from
  sub 3.3V supply.The footprints are there, but parts are not populated
  to save cost. I’ve also added silk labels to the header pins on the
  back. This is an open design under CC BY SA license.


Of course, you can always make your own breakout circuit. For example, you could reproduce the breakout board using a breadboard and some resistors and capacitors. The schematics are provided on that page for A1



and A2



So, in short, either purchase a breakout board, or make one. Once you have done that , you can use the CraftyCoders Arduino Library

Hope that helps.