Not really shorter, but possibly cleaner depending on what the logic you were intending:

if(($ma == 1) && ($sy == 1))
{
  SWITCH: {
    $al == 1 && do {
                     print "\nshow some text.\n";
                     notify();
                     last SWITCH;
                   };
    $tr == 1 && do {
                     print "\nnext data info\n";
                     notify();
                     last SWITCH;
                   };
    $ge == 1 && do {
                     print "\nnew info here\n";
                     notify();
                     last SWITCH;
                   };
  };
};
[download]

I will say that until you get more comfortable with Perl or are really trying for Perl golf, then I would suggest readablity over short.