Firstly, it would help if you provided data in a readily usable format.
That said, this should do the trick.
-- Create a table to house the demo data
CREATE TABLE #Data (
DataDate DATETIME
, amount1 INT
, amount2 INT
);
-- Add the demo data
INSERT INTO #Data ( DataDate, amount1, amount2 )
VALUES
( '5/1/2016 12:00', 1, 1 )
, ( '5/2/2016 12:00', 2, 1 )
, ( '5/3/2016 12:00', 4, 1 )
, ( '5/3/2016 12:00', 6, 1 )
, ( '5/3/2016 12:00', 8, 2 )
, ( '5/3/2016 12:03', 10, 1 )
, ( '5/5/2016 12:00', 12, 21 )
, ( '5/8/2016 12:00', 14, 1 )
, ( '5/8/2016 12:30', 16, 1 )
, ( '5/10/2016 12:00', 18, 4 )
, ( '5/11/2016 14:00', 20, 4 )
, ( '5/12/2016 12:00', 22, 4 )
, ( '5/13/2016 12:00', 24, 4 )
, ( '5/14/2016 12:00', 26, 4 )
, ( '5/15/2016 12:00', 28, 4 )
, ( '5/16/2016 12:00', 30, 4 )
, ( '5/17/2016 12:00', 32, 4 )
, ( '5/18/2016 12:00', 34, 4 )
, ( '5/19/2016 12:00', 36, 4 );
-----------------------------------------------------------
DECLARE @DF INT = @@DATEFIRST; -- Determine the current start day of the week.
SET DATEFIRST 1; -- Set the week to start on Monday
SELECT [week] = 'Week' + RIGHT(100 + DATEPART(wk, DataDate), 2)
, sum(amount1), SUM(amount2)
FROM #Data
GROUP BY DATEPART(wk, DataDate);
SET DATEFIRST @DF; -- Reset the startdate of the week to what it was.