javascript - How to fix Form action with method get

I have a small issues with my code.
Basically, I have a form in my index.html file:

The form from page 1 is the following:

For this form, I want to use OpenWeatherMap API in order to get some weather data. My problem is the following:
I want to get what the user inputs in the form, which I think I can get by using, for example:

var searchInput = document.getElementById("searchInput");

In this variable I can store the location.
And this variable, I want to append to the link that does fetch the data from the API, in the javascript code.
When the user inputs, for example: New York, and press Search, the form action should redirect him to page2.html, where there I can show the weather data.

How can I show that weather data in the page2, with the location input from page1? I tried many times but no luck.
Some Javascript code down below:

let units = 'metric';
let searchMethod = 'q';
let searchButton = document.getElementById("searchBtn");
let searchInput = document.getElementById("searchInput");
if (searchButton) {
    searchButton.addEventListener('click', () => {
        let searchTerm = searchInput.value;
        if (searchTerm)
            searchWeather(searchTerm);
    });
}
function searchWeather(searchTerm) {
    fetch(`http://api.openweathermap.org/data/2.5/weather?${searchMethod}=${searchTerm}&APPID=${appId}&units=${units}`).then(result => {
        return result.json();
    }).then(result => {
        init(result);
    })
}
function init(resultFromServer){
    let weatherDescriptionHeader = document.getElementById('weatherDescriptionHeader');
    let temperatureElement = document.getElementById('temperature');
    let humidityElement = document.getElementById('humidity');
    let windSpeedElement = document.getElementById('windSpeed');
    let cityHeader = document.getElementById('cityHeader');
    let weatherIcon = document.getElementById('documentIconImg');
    weatherIcon.src = 'http://openweathermap.org/img/w/' + resultFromServer.weather[0].icon + '.png';
    let resultDescription = resultFromServer.weather[0].description;
    weatherDescriptionHeader.innerText = resultDescription.charAt(0).toUpperCase() + resultDescription.slice(1);
    temperatureElement.innerHTML = Math.floor(resultFromServer.main.temp) + '°' + " C";
    windSpeedElement.innerHTML = 'Winds at ' + Math.floor(resultFromServer.wind.speed) + ' mph';
    cityHeader.innerHTML = resultFromServer.name;
    humidityElement.innerHTML = 'Humidity levels at ' + resultFromServer.main.humidity + '%';
}

That is some javascript code which should get the weather data.
Then, in page2, I have the following in HTML:

    

        

        

            

            

            

        
        

        

        
>
    

I expected to have the weather data in page2, where the divs are.
Can somebody give me an advice, please?
Thank you!