An electronics breadboard (as opposed to the type on which sandwiches are made) is actually referring to a solderless breadboard. These are great units for making temporary circuits and prototyping, and they require absolutely no soldering.
The circuit below uses 2 resistors to limit the current flowing through the LEDs.
This sketch uses two digital pins on the Ardunio, set as outputs, to control the LEDs.
Remove one of the resistors and swap its LED for a buzzer.