Hold on a second, I'm pulling up my specs right now...
EDIT:
Alright, it looks like with my setup I'd do under 3GB per month. It's only pulling 1KB/s at max. You could mine on an old POTS dial-up line. It basically sends small texts back and forth. It's hardly any data. And when the stratum protocol came out, it made it even less.
And I've never heard of the website. I'm running some AntMiners.