While I've read a few of the Green Arrow comics, I honestly don't remember much of it including anything about Oliver Queen's origins. Does he even have an origin story? How true is the plot of the TV series, Arrow, to the comic? Are there any similarities at all?
The TV show actually uses a similar origin story to the very first Green Arrow comics from the DC 'Golden Age'.
The only major difference is that in the comic, Oliver Queen was actually the boy's father, Green Arrow himself being Roy Harper.
Here is a quick rundown of the original comic book story from the DC database: