Two quick ideas, are you using single quotes to assign that variable, such as?

my $line = 'Hello $cgi->param("name"), how are you today?';
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If not, I believe you can't use method calls inside a string, and expect it to interpolate, use an temp variable, such as:

my $name = $cgi->param('name');
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and then:

my $line = "Hello $name, how are you today?";
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If making an temp variable for each param, then a nice hash will do: (Untested)

my %cgiform;
for my $key ($cgi->param) {
  $cgiform{$key} = $cgi->param($key);
}
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And then you can just use $cgiform{name}.

Update: If you have more than one value with each form input, follow Kanji's suggestion bellow.