You need to collect your Stream into a List:
List<String> adresses = users.stream()
.map(User::getAdress)
.collect(Collectors.toList());
For more information on the different Collectors visit the documentation.
User::getAdress is just another form of writing (User user) -> user.getAdress() which could as well be written as user -> user.getAdress() (because the type User will be inferred by the compiler)