If you are a refugee and have just arrived in Stockholm, it is importande that you register with the Swedish Migration Agency as soon as possible to start your asylum application process.
The Swedish Migration Agency is the authority which considers applications from people who want to live in or seek asylum in Sweden. Please find below links where you will find information in several languages.
Children applying for asylum in Sweden
Adults applying for asylum in Sweden
Read more on the Swedish Migration Agency
Read more on the City's short and long term efforts for refugees. The text is in Swedish but you can use Google translate to read it in your language.