Date::Calc comes to mind:

use strict;
use warnings;

use Date::Calc qw( Today Day_of_Week Add_Delta_Days Date_to_Text );

my $monday_day_of_wk = 1;

my @today = Date::Calc::Today();
my $current_day_of_wk = Day_of_Week( @today );
$current_day_of_wk += 7 if $current_day_of_wk < $monday_day_of_wk;
my @day = Add_Delta_Days( @today, $monday_day_of_wk - $current_day_of_
+wk );

for ( 1..7 ) {
  print Date_to_Text( @day ), "\n";
  @day = Add_Delta_Days( @day, 1 );
}
__END__
Mon 20-Jun-2005
Tue 21-Jun-2005
Wed 22-Jun-2005
Thu 23-Jun-2005
Fri 24-Jun-2005
Sat 25-Jun-2005
Sun 26-Jun-2005
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