That sounds like a lot of vodka, especially for a first-time drinker! Depending on the size of the cup, that was likely at least 5 drinks, and likely more (1 drink of spirits is usually less than you think, and almost always less than what you see poured on TV).

Given that it is also easier to drink liquor faster than something like beer, you likely had quite a bit of alcohol in a pretty short time. I'd be sick, too.