Difference between webSite testing and end-to-end testing

I would like to know the difference between end-to-end and website test in java web application,If we are testing the features of an website then it could be stated as end-to-end test right?

My second question is if i want to do end-to-end test which the best tool ? selenium or cucumber ? I am not able to conclude my self which tool to use.My requirement is as follows 1)Test webapplication automatically by giving the required fields,and also it should interact with my service and database for retrieving information in my UI. Please help me.I am sorry if its a stupid question !!!