Create custom Google search engine for your domain(s) and fetch results as JSON

result.items.forEach(item => {
   /* create an <a> element */
   var a = document.createElement('a')
   /* set the href attribute to the value of item.link */
   a.setAttribute('href', item.link)
   /* also set a clickable text of course */
   a.innerText = item.title

   /* select the element you want to insert the link into 
      i assume here that is a div with id="results" */
   var resultsDiv = document.getElementById('results')
   /* insert the <a> into the result div */
   resultsDiv.appendChild(a)
})

result.items.forEach(item => {
   /* basically this says, replace the innerHTML of this div 
      with what is already there + our new extra HTML */
   var results = document.getElementById('results')
   results.innerHTML = results.innerHTML + `<p><a href="${item.link}">${item.title}</a></p>`
})

result.items.forEach(item => {
   $('#results').append(`<p><a href="${item.link}">${item.title}</a></p>`)
})

<!-- when the form is submitted, either with submit button or ENTER key, call search() -->
<form onsubmit="return search()">
    <input type="text" id="query">
</form>
<!-- show the results in this DIV -->
<div id="results"></div>

<script>
function search() {
    const cx = '009833334622897458665:rtvizlb' // your search engine id 
    const apikey = 'AIzaSyAmvBcHwO9VtVny-cVrP7IhXJ' // your api key

    /* select the input element */
    let input = document.getElementById('query')

    /* fetch the following URL that includes apikey, cx and the value of input */
    fetch(`https://www.googleapis.com/customsearch/v1?key=${apikey}&cx=${cx}&q=${input.value}`).then(response => response.text()).then(text => {
        let result = JSON.parse(text)
        result.items.forEach(item => {
            /* add it to your results div */
            // item.link, item.title, ...etc
        })
    })
    /* make sure the form isn't actually submitted by returning false */
    return false 
}
</script>

/* this fetches the URL and resolves response */
fetch(`https://www.googleapis.com/customsearch/v1?key=${apikey}&cx=${cx}&q=${input.value}`)

/* this resolves only the responseText */
.then(response => response.text())

/* parse the responseText to Object */
JSON.parse(text)