Originally, I got the Big Red Button upon clicking on the provided link; but, right now, the linked page is blank for me.
Anyway, I went ahead and downloaded the Steam client, so it's not a big deal. I remember the original web-based preview (or rip-off?) of Portal quite fondly; Lore Sjöberg linked to it somewhere from his vast empire.
And just so there's no misunderstanding, I didn't mean you can play the game without the steam, I meant you can purchase games without steam.