Build a Website to launch a custom google search

The key function is to launch a custom search with [login to view URL] using the words that the user enters plus a predefined set of words and operators. For example: 1 User enters: John Doe 2 User selects search type from a list radio buttons ("!name" AND "Bananas" OR "Oranges" OR "Apples") 3 A search query is launched for: "John Doe" AND "Bananas" OR "Oranges" OR "Apples" 4 User is taken to Google search result page (or ideally results are displayed and can be browsed on the website itself) Back-end requirements 1 Add, edit search queries 2 Add, edit pages WordPress preferred Front-end design 1 No frills, place for a logo, a search box and button, radio buttons