알아보다 does two jobs and both are here. Mostly it is looking into something to find out — 뭔지 알아보는 시간을 갖다, 'let's take some time to find out what it is', which is stock presenter phrasing and appears three times. It also means recognising something or someone on sight, which the first two lines use. -ㄴ지 wraps up the open question being answered.