Thats like saying ww1 is basically like ww2 : P
True, but false.
Well, I'd say it is more like saying that the Falklands War is basically like WW2.
But yeah, open the System Information window and select the system the world in question is in, then select the planet, then click "Add Colony" or w/e on the bottom row of buttons. Alternately, just start dropping colonists or installations and it will automatically become a colony. If the colony cost isn't 0.00, you'll need infrastructure to support your colonists; the amount depends on how high the colony cost is. You can eventually lower this with terraforming.
As for actually getting stuff there: Design two ships:
One should have cryogenic modules, as well as all the things you need for any functional nonmilitary ship (commercial engines, fuel tanks, etc.), and the other should have cargo holds (the ideal is in multiples of 5, as most installations take up 5 cargo holds), and both should have cargo handling systems.
Once you've build at least one of each, and have built any installations you want to move, set up these orders: order the colony ship to Load Colonists at Earth, and then whatever series of jump transits you need to get it into the system with the colony world, then to Unload Colonists at the colony world. Keep in mind that if it has a cost higher than 0.00, they will start dying right off the bat if you don't have infrastructure.
For the freighter: Load [Installation name] at Earth, the same series of transits (if any), Unload [Installation name] at the colony world. Note that if you have more to move than your freighter can carry in one trip (you will), you need to order it to carry only what it can, then return, then load more, etc. If you are transporting the same type of installation multiple times, you can use the 'repeat' checkbox and counter after setting up the first full two-way trip orders to duplicate them 40 times or whatever you want. The same can be used for repeat trips for colony ships. Remember to drop refuel orders into the end of the trip to avoid ships running out of fuel or cancelling orders to refuel.