First if you already have a ListView in your activity that you just want to update call this method after data changed notifyDataSetChanged()
if not you need to add a Listview into your activity and publish your list of string into it via ArrayAdapter
Simple example:
// create a new file
File file = new File("yourPath");
//get the file list in an array of file
File[] fileList = file.listFiles();
//create a list of string that will store all file name
List<String> fileNameList = new ArrayList<String>();
//get all names
for(int i= 0; i<fileList.length; i++){
fileNameList.add(fileList[i].getName());
}
//I know you already have a list of file name it just to be a bit more clear... now publish the result into your listView
myListView.setAdapter(new ArrayAdapter<String>(this, android.R.layout.simple_list_item_1,fileNameList));