In addition to the physical PLC itself you will have to obtain software to prgram the PLC with the logic you need to make the required control sequence occur. Go to the tutorial on this site for examples of ladder logic programming. This can vary from free for a crippled download version for the MicroLogix 1000 to inexpensive ($395) for AutomationDirect.com to several thousand dollars for some other brands like Siemens or Modicon.
You will also need a cable to connect your PC to the PLC. Again, this varies from $30 or so from some manufacturers like Automation Direct to several hundred dollars for others, where the "cable" includes an RS232 to RS485 converter.
If this is your first PLC project I suggest you get in touch with a local distributor for two or three PLC brands. That way you can get some help in selecting the hardware and getting started on the programming. Both of the brands I mentioned are available in England, but I'm not sure of the quality of the local suppport there. Siemens and Omron are also very popular, but Siemens is quite expensive.