fabiensf,
My G/f came with me when I went to do my PPL and stayed for the first 2 weeks. She amused herself during the day by going to the beach and the shops and popping to the flying club to have lunch with me at lunch time, then we would spend the evening together.
As long as she understands you are there to train, and she WILL come 2nd to that, then there should be no problems. If she has it in her mind that once you get there, you will forget about the flying and hang out with her and just have a holiday with a bit of flying here and there, then you need to set her straight before you go.