Dreamhack Pick'Em Challenge Coin/Trophy/Badge

What do I need to do to get it

Nothing, just have those 25 points and wait patiently (see above).

Other than that it's just speculation but based on past experiences:

When do I get my badge/coin/trophy?

Last ESL PickEm' event, the trophies were received on the following Tuesday.

As this seems to be such a commonly asked question I have created this thread.Valve officially stated every time you played the Pick'Em challenge they would hand out the rewards later/after the tournament was completed.