We are concerned about accessibility on our web site and would like to see how it is perceived and decoded by a common screen reader?
No. At least not one that is any good nor represents how a screen reader actually reads a page or responds to ARIA.
The best answer is to test in real screen readers, ideally by getting real users as they know how to use these tools. Consider contacting your local blind association and see if they offer testing services.
Each platform has a screen reader, most are built in. Windows has the most variety.
Use Narrator (it is built in, though not very good right now it is getting much better). Use it with Edge.
Download the free NVDA screen reader (but please donate to support it). Use it with Firefox
Download JAWS and use it in 40 minute increments for free. Use it with IE11.
These are handy to get started with testing on your own. Keyboard shortcuts are necessary to use a screen reader well, beyond just hitting the Tab
key over and over and over.