JB123:

You will leave the airport, but it is all covered. Just follow the signs outside of customs. Then go to the station and get a day return ticket (I think it's a wee bit cheaper than two singles). See www.schiphol.nl or www.ns.nl (both have english versions).

Once you get to Centraal Station, you could in theory walk wherever you want to. That's the lovely thiing about A'dam - it's a very walkable city.

It sounds naff, but you could start off with a canal boat tour, IIRC there is a launch near the station. It's a good overview of the city and you'll probably want to gather yourself after your flight.

There is, of course, the Anne Frank House on Prinzengracht. There is also a good pancake house next to it too! You could head to Leidseplein and have a rijstafel at Bojo's (my fave) www.bojo.nl (though I don't know if they are open for lunch).

And again, walk, walk, walk. It's supposed to be a lovely, sunny weekend, so enjoy! You could go into a stuffy museum, but enjoy a sunny day. Stop for a 'koffie verkerd' and a huge slice of Dutch apple pie. There are coffee shops and then there are 'coffee shops' . Hint: If there is a Bob Marely flag, apple pie isn't the only thing on the menu