Sit in on a session of the European Parliament and watch 24-language live translation in action

For transport, check out the tram museum
http://www.trammuseumbrussels.be/en

Brussels also has a lot of 'pre-metro' tram tunnels which might be of interest. You can check out how the platforms are ready for conversion to full metro with a bit of filling in (i.e. why the escalators only reach the upper platform sections, then you go down just a few stairs to get to the tram platform, and also why the platforms are so much longer than the trams).

Then, as others have stated, enjoy the Belgian beer and soon little else will matter