goletz: If I remember correctly.
1. You need an EA account to activate, so you must create one if you don't already have one.
2. The keys are in your game library. You must click on the game in your library in the web interface. They do not appear in the GOG Galaxy interface. Click on the game in your library, click on more, select serial keys from the drop down menu.
3. Enter those keys in your EA account.
4. When you start up spore, enter your EA account name and password.

But, the keys and EA account is only for accessing the on-line content. If you don't care about the on-line content, you don't need to do this.

MalDanya: Yeah, Thanks.
Need to do it from Origin :)
Everything is Okay now, thank you!

bansama: You followed the instructions in the support article right? I did this yesterday, making a brand new account specifically for GOG version, and had no trouble.

Just make sure the Spore name you choose ingame matches whatever name you gave your account on the EA site. If you don't it likely won't realise they are the same account and will give you an error.

Support article reads:
1. Go to https://myaccount.ea.com/cp-ui/redemption/index, log with your EA data, redeem all three codes (you can find them under more -> serial keys). IMPORTANT! For base game, make sure to redeem actual game and not the Spore Community Access.
2. Run the game.
3. Choose "Register" and log in with your EA data.