What’s the difference between MQ Web, and z/OS Connect MQ support?

With MQ Web

1. You can issue commands to administer MQ  for example display, define, delete MQ objects.
2. You can put and get messages to and from a queue.  The message is what you specify – typically a character string.

With Z/OS Connect MQ support

1. You can put and get messages to and from a queue, and do transformations on the message.  For example mapping a COBOL structure to JSON.  
2. You can do field validation.
3. You can covert HTTP code “200” to “great it worked”.

What is common?

They both use z/OS WebSphere Liberty to provide the basic web server.