Set your Arduino board and your breadboard.
Put the buttons and the LEDs wherever you want to. Just remember to find a place in which you don't get to touch any wire when pressing rapidly the button.
Connect the positive and ground rails of the breadboard to the 5V and GND pins in the POWER section of the Arduino.
Connect the ground of the buttons and LEDs to the ground rails by putting a resistance. The LEDs need a 220 or 330 ohm resistance while the buttons would be fine with a 10k ohm resistance.
Connect the to buttons to the positive rails of the breadboard.
Between the ground pin of the buttons and the resistance, put a jumper wire and connect them to the pins 4 and 8 of the digital pins of the Arduino. This will send the digitalRead when the button is pressed.
Connect the positive side of the LEDs to the pins 5 and 9 of the digital pins of the Arduino. This will make the LED turn on when it gets to the goal.
Upload the code to your Arduino and start playing. (You cand find the link to the code in the link section)