The interview process is quite long and time consuming. It involves IQ testing, personality testing with a follow up discussion with a representative from the testing company, an interview day together with other candidates and finally a final interview.
I did not find the process to be tough in terms of difficult questions, but H&M seems to take cultural fit very importantly so make sure to research that. For example, they told me that someone staying after 5 pm at work would not impress managers and that it is more important to be quick and flexible rather than a perfectionist getting everything 100% right.
Be warned that the salary offered is below average.