Lot's of ways, few of them good ;)
If you wan't something that looks like the Internet you'll have to read up the Internet topology literature and pick a representation that seems reasonable for your purposes.
If you're really interested in something else, but need a large network, you could use almost anything that preserves the effects you need.
In one case we were only interested in the attachment of a site to the "internet." We modeled the "internet" as a two level tree, with only ~100 leaf nodes to represent the servers on the "internet".
In another case we wanted a small world topology with limited node degree, so we used a Watts-Strogatz graph.