Check the victory conditions in your quest window. You need to also launch a laser com satellite. All the steps that you need for each victory condition are clearly spelled out in the quests/victory tab.
Ah! That's where it is. Thanks. Sometimes I feel the information you need in this game is not where you'd expect it to be. Like, when I searched for Covert Ops to find out why my spies weren't being killed and got a single sentence that told me nothing
Yeah, I ran into the same stumbling block, looked in the civilopedia, looked at the tech web entry again, etc. before finding the victory tab.
Once you build it, click on the wonder (on the world map), then look to the top left of the wonder screen. The person icon thingy is what you click to summon earthlings. That took me a bit to figure out as well.