While it is possible to convert a DirectoryStream into a Stream using its spliterator method, there is no reason to do so. Just create a Stream<Path> in the first place.
E.g., instead of calling Files.newDirectoryStream(Path) just call Files.list(Path).
The overload of newDirectoryStream which accepts an additional Filter may be replaced by Files.list(Path).filter(Predicate) and there are additional operations like Files.find and Files.walk returning a Stream<Path>, however, I did not find a replacement for the case you want to use the “glob pattern”. That seems to be the only case where translating a DirectoryStream into a Stream might be useful (I prefer using regular expressions anyway)…