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Can you connect to the server on the mainframe using a broswer?
What hardware the server is on shouldn't make a difference if you are using the HTTP protocol.

The Apache project has some packages...

I'm not sure I understand where the java program is going to execute and how you are going to use it.
Will the java program execute on the mainframe and you will connect to it via a browser and...

If it uses HTTP, then a browser can load a file from it, depending on the server.
Normally a browser loads an html file.

Does the server use standard protocols like HTTP or FTP?

What kind of server does the mainframe have? What protocols does it use?

What is a "mainframe server"?