In a previous YCNews discussion of this topic, I worked out based on public Root DNS statistics that this traffic amounts to at most a few gigabits spread across hundreds of DNS servers, each of which has at least a gigabit connection.
Notice that all of the breathless articles going on about how evil Google is are using percentages, not absolute numbers?
This is because journalists don't do journalism any more, they just put their name on corporate PR that is intended as a weapon in a war for control.