From its description it appears that the board that you linked to has an analogue output. If so, then connect it to an analogue pin on the Arduino and use analogRead() to get the value that it returns
A search of the forum for pt19 may also provide more details
Your first link has a link to the ALSPT19 datasheet, which has a schematic of the sensor (page 6 of 11). You can also do a search on "adafruit als-pt19 datasheet" (or any hardware) and with a little sifting, you will have your answer.