All you need to connect that display to the arduino is some wires, and the starter pack comes with a bunch of jumper wires.
Have a look at our tutorial
to see what's involved.
Note that the tutorial uses a breadboard to support the wire connections. The starter pack has a prototyping shield, which is similar but different. Breadboards do not require you to solder your wires. You must solder wires to the proto board.
What would be easier for you would be the shield version of that display
. That simply plugs directly into the arduino - no wiring required.
The shield version also has 5-way joystick control, which the breakout does not.
Also note that the MicroSD card is not included with either. You can order one here