Hello,
i am a beginner player of Go and i want a Goban and two sets of stones (obviously). Can anyone tell me a trustworthy online store that sells that stuff in European Union?

There are several. Can you specify which country, since many online stores, even when located within EU, don't ship to all EU countries.

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Just give me a list of the stores located in the EU and i will find out the rest. All i care is to be trustworthy stores. Thanx anyway.

Here are some:

http://www.schaakengo.nl/
http://www.go-onlineshop.de/
http://www.hebsacker-verlag.de/index.php
http://www.mastersgames.com/
http://mohsart.se/
http://www.kolumbus.fi/gaimport/

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of you need a cheap folding board try Kaissa stores in Greece

Of the ones listed, I ordered from these:

http://www.schaakengo.nl/
http://www.hebsacker-verlag.de/index.php
http://mohsart.se/

... and received outstanding service, fast delivery and no troubles from all of them. I can vouch for them. I've also bought most my traditional Go books from http://www.schachversand.de/startneue2.htm (mostly because they have free shipping within Germany and you can pay per invoice as a regular customer).

Another one, in France:
http://www.jeudego.com/

I ordered several books from them. Good service.