You are practically there already! Just skip all the SOAP bits:
<cfscript>
ws = CreateObject("webservice", "http://ec.europa.eu/taxation_customs/vies/checkVatService.wsdl");
response = ws.checkVat("GB","123456789");
nm = response.getName();
addr = response.getAddress();
</cfscript>
<cfoutput>
Name: #nm#<br>
Address: #addr#<br>
</cfoutput>
<!--- Uncomment the following line, to see the various methods you can invoke to obtain information the response contains --->
<!--- <cfdump var="#response#"> --->
You certainly would like to know about this
.