How to program the nRF24LU1+?
Your laptop does not have an SPI bus. There is a standard protocol for the SPI bus to interface with flash chips, but you need some way to electrically hook up the computer to that bus.
I imagine that you could pretty easily build something that would work out of an Arduino Uno, or some cheaper USB Arduino clone, by writing some code that reads the serial port (or USB interface) and writes data to the SPI bus that's built-into the Arduino, and use a separate digital pin to drive the programming pin high.