You start with all three GPIO pins low,
The method you need is named "bit-banging". So you will require two or better three GPIO pins clocking out every bis and after all bits are in the shift register activate strobe.
Set the Pin attached to the D Input of the shift register accordingly and then toggle on (switch on/off) the CLK pin.
set next bit value and continue until all 8 bits have been banged out.
After shifting all 8 bits activate the Strobe pin so the internal states of the shift register are output at the 8 output pins of the 4094. If the strobe pin is active al the time the bitmap will "run" on your output pins while you shift the bits out. This is sometimes not wanted.
If you also need input pins this can be easily done by combining a shift in register sharing strobe, and clk pins and only requiring an additional input pin. shifting in and out can than be done within the same bit banging cycle and a function like:
uint8_t shiftInOut( uint8_t output)
In this case I think you have to activate the strobe line two times at the beginning (to latch the values into the shift in register) and after the bit banging cycle to latch the output values otherwise you get the input values from the last bit banging cycle.
