You could look at this schematic for guidance:
Look at the pin names and verify against your displays datasheet. They might be in different order.
Inverter is used for powering CCFL or EL backlights. But your display has a LED backlight so you don't need inverter. Only a suitable resistor for the LEDs.
What isn't clear from a quick glance at the datasheet of your display is if your display provides the negative voltage from the VEE pin or if it needs to be supplied externally. The schematic above shows a display that has the negative voltage generator on the display PCB and supplies this voltage from the VEE pin. But I think your display would need this voltage to be supplied externally.