I don't really know the genre of it, but I was played on an alternative rock station in mid-late 90's

'when I wake up I don't know if I'm truly awake or if I'm still dreaming'

Those are they main lyics I remember. The song ends with that line as well

Thanks if you can help

Okay, it is possible that the song is:

"Dream" by Forest for the Trees

Apparently other people have wondered that very same question as you elsewhere on the web, although "truely" is actually spelt truly.

Yes that is the song. Thank you truly for the song title and spell check :)