SET DATEFORMAT YMD
if (object_id(‘tempdb..#weekdays’) is not null)
drop table #weekdays

Declare @StartDate as datetime
Declare @EndDate as datetime
Declare @Initialweekstart as datetime
Declare @weekstart as datetime
Declare @weekend as datetime
declare @day as int

set @StartDate=’2015-04-12′
set @EndDate=’2015-06-10′

Create table #weekdays(weekstart datetime, weekend datetime)

select @Initialweekstart=dateadd(wk, datediff(wk, 0, @StartDate), 0)

if @Initialweekstart<@StartDate
begin
set @weekstart= DATEADD(wk,1,DATEADD(wk,DATEDIFF(wk,0,@Initialweekstart),0))
print  @weekstart
set @weekend=DATEADD(dd,6,@weekstart)
end
else
begin
set @weekstart=@Initialweekstart
set @weekend=DATEADD(dd,6,@weekstart)
end
while @weekend<=@EndDate
begin
insert into #weekdays(weekstart,weekend)
values (@weekstart,@weekend)
set @weekstart= DATEADD(wk,1,DATEADD(wk,DATEDIFF(wk,0,@weekstart),0))
print  @weekstart
set @weekend=DATEADD(dd,6,@weekstart)
end
select @day= datepart(dw,@EndDate)
if @day=6 or @day=7
begin
insert into #weekdays(weekstart,weekend)
values (@weekstart,@weekend)
end
select CAST(weekstart AS DATE) as WeekStart, CAST(weekend AS DATE) as WeekEnd from #weekdays

This script will gives the following result:-

WeekStart        WeekEnd
2015-04-13      2015-04-19
2015-04-20      2015-04-26
2015-04-27      2015-05-03
2015-05-04      2015-05-10
2015-05-11      2015-05-17
2015-05-18      2015-05-24
2015-05-25      2015-05-31
2015-06-01      2015-06-07