First Kpop song I ever hear was BoA's Moto and second was Epik High's Paris I don't know what year that was, apparently it was hot songs at the time. I think I heard it on youtube. Now I know it was around 2005 or 2006 (just had a search on google).
It was 2012 when I started to really take interest in Kpop, local TV in New Zealand started to air Korean content on a free-to-air channel. It aired past rerun K dramas, old variety shows and Kpop news programs such as Pops In Seoul (host was NS Yoon G at the time) and even Inkigayo. SNSD, Wonder Girls and T-ara was the three major exposures I had.
It's funny cus I thought the first SNSD song I hear was Kissing You in 2012 on youtube but that's actually wrong, it was Gee on local TV in 2012 but I didn't take much notice at the time and didn't realize that Gee was SNSD's song lol.
It's probably the same year I found Allkpop, I remember SNSD TTS was promoting Twinkle at the time. DBSK was already split into TVXQ and JYJ and law suit going on, tension was still high . And the T-ara scandal happened, got engaged in fanwar defending T-ara and the rest is history.