Your question is a little confusing, you ask how to get the first day of the month and then cut-and-paste Date::Calc instructions on figuring out the first Monday of a week. If you want the first day of the month, simply refer to is with the number '1'. No Data::Calc required, that's always the first day.
Now how to figure the first Monday of a given month? It takes a little logic, what the Date::Calc instructions are explaining is how to get the Monday of any given week, now if you want the first Monday of the month you should check Monday_of_Week() of the first day of a month. If the result is in the same month, you got lucky and Monday falls on the first, if not, increment the week of the year by 1 and you will have your answer.
#$year, $month, and $day are set to the first of any given month
my ($week,undef)=Week_of_Year($year,$month,$day);
my (undef, $tmpmonth, $firstmonday)=Monday_of_Week($week,$year);
if ($tmpmonth != $month)
{
(undef, undef, $firstmonday)=Monday_of_Week(++$week,$year);
}
#$firstmonday now contains the date of the first Monday of a given mon
+th.
#Put this in a loop or a sub or whatever and you can call it with argu
+ments.
print "First monday of $month/$year is $firstmonday\n";
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