So, is this what you are looking for?

IF OBJECT_ID('dbo.TestTable','U') IS NOT NULL
  DROP TABLE [dbo].[TestTable];

CREATE TABLE [dbo].[TestTable](
  [name] VARCHAR(30)
  , [ShiftType] VARCHAR(30)
  , [SundayShiftDate] DATE);

INSERT INTO [dbo].[TestTable]([name],[ShiftType],[SundayShiftDate])
VALUES ('Graham','Late','2017-10-22')
       ,('Graham','Late','2017-10-29')
       ,('Graham','Late','2017-11-05')
       ,('Graham','Morning','2017-11-12')
       ,('Graham','Afternoon','2017-11-19')
       ,('Graham','Afternoon','2017-11-26')
       ,('Graham','Afternoon','2017-12-03')
       ,('Graham','Late','2017-12-10')
       ,('Graham','Late','2017-12-17');

SELECT [tt].[name], [tt].[ShiftType], [tt].[SundayShiftDate] FROM [dbo].[TestTable] AS [tt];

WITH base AS (
SELECT
  [tt].[name]
  , [tt].[ShiftType]
  , [tt].[SundayShiftDate]
  , [rn] = ROW_NUMBER() OVER (PARTITION BY [tt].[name], [tt].[ShiftType] ORDER BY [tt].[SundayShiftDate])
FROM
  [dbo].[TestTable] AS [tt]
), Interim AS (
SELECT
  .[name]
  , .[ShiftType]
  , .[SundayShiftDate]
  , [GroupDate] = DATEADD(DAY,-(7 * [rn]), .[SundayShiftDate])
FROM
  [base] AS
)
SELECT
  .[name]
  , .[ShiftType]
  , [From] = MIN(.[SundayShiftDate])
  , [To] = MAX(.[SundayShiftDate])
FROM
  [Interim] AS
GROUP BY
  .[name]
  , .[ShiftType]
  , .[GroupDate]
ORDER BY
  .[name]
  , MIN(.[GroupDate]);