This documentation is written around an ATMEGA168 programmed through an AVR. It might (should) be compatible with other microcontrollers but you will need to tweak the program and the set up a little bit here and there.
For software side installation instruction, please go to https://github.com/binhonglee/SunriseAlarmClock
The parts that is used in building the project includes:
Solder your USBtinyISP according to the tutorial.
Put all the parts onto the breadboard according to this diagram. (If you do not have any LEDs or Resistors, ignore them)
Connect everything together onto your computer.
(Optional) If you have the LEDs and Resistors connected, make sure the LEDs is lightened up.
Proceed to flash the microcontroller with the program following the instructions here.
Congratulations, you have it all put together!