For your first question, the difference is 'wantarray' - if the function (localtime) sees you are calling it in scalar context, it returns a string. If you are calling it in array (or list) context, it returns a list (or array).
For you second question, you might want to think about an array (or possibly a list. No, here, it's definitely an array).

my @days = qw(Sun Mon Tue Wed Thu Fri Sat);
$day = $days[(localtime)[6]];

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The magic happens in (localtime)[6] which means 'return localtime as an (array), and give me the seventh element of that array'.

Update:Fixed erroneous bogo-link.

In reply to Re: getting day of the week by moot
in thread getting day of the week by Anonymous Monk

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