You can use SQL DATENAME function to get the day of the week. Here is an example.
DECLARE @temp TABLE (Id INT Identity(1,1), SomeDate Date)
INSERT INTO @temp
SELECT '2018/06/09'
UNION
SELECT '2018/06/07'
SELECT DATENAME(dw,SomeDate) +', ' + CONVERT(VARCHAR(10),SomeDate) 'Date_to_Display'
FROM @temp
Output:
Date_to_Display
Saturday, 2018-06-09
Thursday, 2018-06-07