First enable error reporting :
ini_set('display_errors',1);
ini_set('display_startup_errors',1);
error_reporting(-1);
Then follow code below :
<?php
session_start();
$name = $_SESSION['MM_Username'];
mysql_connect("localhost","abc","sar") or die("No Connection"); //Add or die() to record any error if connection is failed
mysql_select_db("abc") or die("can't select");
$query = mysql_query("select * from `employee` WHERE username = '".$name."'") or die("Wrong query"); //makesure table name with backtick eg: `tablename`
while($row = mysql_fetch_array($query));  //also can use : mysql_fetch_assoc($query)
{ 
  echo $row['employee_id']; //print output
}   
?>
- Enable error reporting
- Add or die()to check if failed
- Always use backtick for table name . Why? check here
- Try use mysql_fetch_array($query)ormysql_fetch_assoc($query)
- And please don't use mysql_*in future. Why ? check here