After months of searching what's better to do for my situation I finally decided to write in this forum so maybe I can get the answers I need

I'm Italian and I've been living and working in the UK for one year. My fiancee is Japanese and we will get married in Italy this year in October.
After the marriage we will come to live in the UK. I will continue to work, but we won't need a work permit for her as she won't work in the UK.
We seem to have understood what kind of papers we need to prepare for the marriage, but we're having problems in understanding what's the best way for my girlfriend to come and live in the UK once we get married.
We're not looking for a fiancee visa as before the marriage she is coming to England as a tourist, but after we get married she will need a visa for sure. Also, I think I've understood that she will be able to stay in the UK up to 2 years and then she will have to renew the stay permit.
Can anyone please explain to us what kind of papers we have to prepare? My girlfriend told me I also have to fill in a EEA1 form, but as a EU citizen I didn't think I needed to fill in any application.
Hope you can understand this situation and help us out, thank you very much!