You select only the key in your example:
dataGrid.ItemsSource = _dataContext.Addresses.GroupBy(a => a.SurName).Where(grp => grp.Count() > 1).Select(grp => **grp.Key**);
I assume what you are trying to do is select the whole line:
dataGrid.ItemsSource = _dataContext.Addresses.GroupBy(a => a.SurName).Where(grp => grp.Count() > 1).SelectMany(grp => grp.Select(r=>r));
To compare the first and last name:
dataGrid.ItemsSource = _dataContext.Addresses.GroupBy(a => new Tuple<String, String>(a.ForeName, a.SurName)).Where(grp => grp.Count() > 1).SelectMany(grp => grp.Select(r=>r));
EDIT: for L2E, you can (I think) use anonymous types:
dataGrid.ItemsSource = _dataContext.Addresses.GroupBy(a => new { a.ForeName, a.SurName }).Where(grp => grp.Count() > 1).SelectMany(grp => grp.Select(r=>r));
, 100% .