For anyone who thought these were the same thing, weather is short-term ("today the weather is rainy") and climate is a longer-term characteristic ("the climate in central Australia is hot and dry in summer").
The weather changes every day in most places, and is difficult to predict accurately on a short timescale. The climate, by definition of being a long-term thing, is quite predictable on a longer timescale but still can't help you know whether it'll rain on an exact day. Climate is like the average of weather.
That's kind of why climate change is both worrying to scientists (they take measurements over a long time, and see that something that should be stable is changing), and not easily perceptible to the public (who just look out the window every day and are used to seeing big variations).
"ich mag das Klima" = I like the air "Es ist das Klima" = Is the climate Seriously?