If you want to code it yourself, you can use PHP PDO and ODBC to connect to an MS Access database if you’re still going to be actively maintaining the database through MS Access. Of course, your MS Access database has to be on a server that is accessible to the web server where you run WordPress so that the database can be connected to.
This would be a fairly routine job for a developer with experience with PDO if your MS Access database is well-constructed; it can get really hairy if it’s not. There are lots of examples of code for the connection and various basic queries out there if you Google “php pdo odbc ms access” or something along those lines, but if you don’t have any experience with PHP and database access, you may want to invest in a developer.
If the data is no longer going to be maintained in MS Access, you could export the database structure/data from MS Access and import it into MySQL tables in WordPress’ database, then not have to worry about connecting to MS Access with PHP.
Either way, you’d probably write all your code in a custom template for WordPress, then create a page linked to the custom template to display the user interface/data you want.
The other thing you could look at would be a plugin that allows access to an MS Access database, but I haven’t seen one, and in that case you might not get the kind of custom user interface you want.