I typed in the code for the Collectors' Edtion bonus content and downloaded Civ2_10X_BonusPack_030806.exe.
After installing the 1.1 patch, I installed the bonus patach. Strange thing was, it downgraded version 1.1 of the game to 1.02X, and the interface for my German-language game was in English. So I used the 1.1 patch again to get the game back up to version 1.1. The game indeed is back at 1.1, although it still is in English (which doesn't bother me).
Now, do I have access to the bonus content now or not? Or is the link for the bonus pack here https://www.galciv2.com/CollectorsEdition/ the wrong one and I simply downloaded the beta patch?