Following is another way of doing it using plain PHP without the information_schema database:
$chkcol = mysql_query("SELECT * FROM `my_table_name` LIMIT 1");
$mycol = mysql_fetch_array($chkcol);
if(!isset($mycol['my_new_column']))
mysql_query("ALTER TABLE `my_table_name` ADD `my_new_column` BOOL NOT NULL DEFAULT '0'");