At the start of the game, and at the end of the player phase, you draw cards until you reach your hand size. Remember to forget to count Connection to the Worldmind when you're doing so!

If you get Connection as a "free" draw at one of those times, it's a bit like drawing a double resource, as it's worth and it comes with a second card stapled on. Sometimes it's worth more (if it comes with an actual double resource), sometimes it's worth less (if you get it from a non-"free" draw, such as off Unleash Nova Force).