Parallel output to Serial input into Arduino

Hey, Please excuse my ignorance in the subject. I am definitely a novice in the subject. I received an OLED display that can be used in both 8080 8 bit parallel and 4 wire SPI. However, the pinout and schematics given with the display only show the parallel version. I tried contacting them for more information but they haven't responded. I also tried looking at the forums here but i couldn't find anything that I was confident in using. I did find this 74HC/HCT166 at digi-key and I'm going to try and use that but is there anything I should know?

Thanks for your help!