Not familiar with the Panasonic PLC's personally, but yes, many PLC's do have at least web pages if not web servers these days. There's a couple ways to get data from the PLC to the PC. Most brands, including Automation Direct, have at least an optional Ethernet port.
There are various comms products from the PLC makers as well as third parties that will poll the PLC and get the information continuously, either via a serial or Ethernet connection, or vendor specific hardware/comms (such as Allen Bradley DH+). "Modbus" is a widely used open industrial communication protocol, so called because it was originally developed by Modicon, a PLC maker, but it was released publicly and there's very, very widespread support for it, to the point where today it's viewed as sort of a default open protocol for industrial devices. (You could easily write a comms driver for it if you wanted to, but you don't have to because there are a lot of them for free or cheap, as a component in a system you put together. If you purchase an OTS OPC or SCADA product, it will come with a Modbus driver) In the last few years, Ethernet has become a popular industrial comms medium, and most manufacturers offer Ethernet comms using protocols of varying degrees of openness and varying degrees of support in third party devices, and there's an Ethernet version of Modbus called Modbus/TCP.
Another option, especially if you want the PLC/PC link to be fault tolerant, is email! Many PLC's, Automation Direct's included, can initiate emails. So you could have an app on the PC end that parses the emails and puts the data into your database.
Oh, and yes, as far as I know, all PLC brands have input-only modules.