The German Government provide a list with several Laws in English. This Translations into English are provided by the Language Service of the Federal Ministry of the Interior. In general all Translations of these materials/laws into languages other than German are intended solely as a convenience to the non-German-reading public. Any differences or discrepancies which may arise in translations of the official German versions of all these laws have no legal effect for compliance or enforcement purposes. Here you find a list with all available German Laws in English
http://www.gesetze-im-internet.de/Teilliste_translations.html
In some cases the German text might be more actual than the English, please also try to go through the German version (if necessary try to get an interpreter)
Here you find the translation of the Asylum Procedure Act: http://www.gesetze-im-internet.de/englisch_asylvfg/index.html
Here you find the translation of the Act on the Residence: http://www.gesetze-im-internet.de/englisch_aufenthg/index.html
The Federal Ministry for Migration and Refugees (Bundesamt für Migration und Flüchtlinge (BAMF) also offers useful information for refugees. Here you can visite their Homepage in English:
http://www.bamf.de/EN/Startseite/startseite-node.html