No clue if it works with the Sony, but I use an original Kindle Fire using the Squeezecomander program to control my Squeezebox Touch and Logitech Media Server program.
If you just need a web browser, that's built into the Fire tablet. The 7" version starts at $49 new (and cheaper used).
If you just need a web browser, that's built into the Fire tablet. The 7" version starts at $49 new (and cheaper used).