What do you mean by "1gbps from/to the internet"?

125 MB per second × 60 seconds per minute × 60 minutes per hour × 24 hours per day x 30 days = 324 TB?

If you want 1 Gbps unmetered colo pricing, AWS is not competitive. So set up your video streaming service elsewhere :-)

https://portal.colocrossing.com/register/order/service/480 offers unmetered for $2,500 additional per month, for the record.

If you have high bandwidth needs on AWS you can use AWS Lightsail, which has some discounted transfer rates.