I hope you're trolling, Spiderman never had the ability to shoot web in the comic, he had to make web shooters. He does have powers, His strength is heightened, he can climb up walls, he is much faster, and he has his "Spidey Senses"

Not defending the idiot, but Spidey eventually does get real web.

Ooh when is that?? I haven't heard of that. (being serious)

Webs became organic only two points in the comics, when he was wearing the symbiote suit, and after he defeated Morlun and joined the New Avengers.

And webs just... magically appeared??

Nah. The symbiote created the organic webs when he was wearing it. With Morlun he injected himself with more radiation and accepted his "spiderness", and thus gained "greater speed; poisonous, razor-sharp stingers located within his arms; night vision; increased sensory awareness via vibratory patterns transmitted through the hairs on his body and through his weblines; a greater clinging ability; and equal superhuman strength in order to carry heavy objects on his back" according the the Marvel wiki