All you need to do is, book an accommodation and have flight return ticket and pay 100 riyals at the airport for entry visa as tourist
as you are from EU member there is no problem
I'm British with UK passport lives in London, me and my ex-girlfriend from Czech republic visit Qatar and was no problem for getting Visa at the airport for her
just show hotel booking and have your return ticket with you
for how long are you planing to stay in Qatar?