DS1307 AT24C32 Real Time Clock Module for Arduino

I suggest you start here - Overview | DS1307 Real Time Clock Breakout Board Kit | Adafruit Learning System and Arduino Playground - HomePage. Check out the examples in the time library.

Get the DS1307 working and show you current time.

Let say your time variable (time_t) is currentTime.
Then,

if (hour(currentTime) == 6 && isAM(currentTime) == true) {

//turn on lights

}