Read this Populating-a-ListView-with-a-CursorAdapter or this Android Cursor Example
If you want to use an ArrayList (getted from Populating a ListView using an ArrayList):
lv = (ListView) findViewById(R.id.your_list_view_id);
// Instanciating an array list (you don't need to do this,
// you already have yours).
List<String> your_array_list = new ArrayList<String>();
your_array_list.add("foo");
your_array_list.add("bar");
// This is the array adapter, it takes the context of the activity as a
// first parameter, the type of list view as a second parameter and your
// array as a third parameter.
ArrayAdapter<String> arrayAdapter = new ArrayAdapter<String>(
this,
android.R.layout.simple_list_item_1,
your_array_list );
lv.setAdapter(arrayAdapter);