Make your own vbulletin powered page.
https://vborg.vbsupport.ru/showthread.php?t=62164
Then enter this conditional on that page.
I suggest using the user id rather then name. Here is the conditional.
Code:
<if condition="$bbuserinfo['userid'] == 1"> your information shown here</if>
But if you want user name here is that conditional.
Code:
<if condition="$bbuserinfo['username'] == usersname"> your information shown here</if>
To add your own php code make a vbulletin plugin put your php code in the plugin. Find a hook that your page calls which would probably be global since its a custom page. Read about plugins here
http://www.vbulletin.com/docs/html/plugin_manager