Your code looks correct, I suspect that your issue is that your device does not have location services enabled, if it does you may not have accept the security prompt when it runs the first time.
This following demo I modified from the google maps API reference
https://developers.google.com/maps/documentation/javascript/
HTML Demo
<div id="map"></div>
<!-- Replace the value of the key parameter with your own API key. -->
<script async defer
src="https://maps.googleapis.com/maps/api/js?key=AIzaSyCkUOdZ5y7hMm0yrcCQoCvLwzdM6M8s5qk&callback=initMap">
</script>
CSS
/* Always set the map height explicitly to define the size of the div
* element that contains the map. */
#map {
height: 100%;
}
/* Optional: Makes the sample page fill the window. */
html, body {
height: 100%;
margin: 0;
padding: 0;
}
JS
function initMap() {
// Pick a start point, I live in Australia, so just picked the middle of OZ
var myLatLng = {lat: -25.363, lng: 131.044};
var map = new google.maps.Map(document.getElementById('map'), {
zoom: 4,
center: myLatLng
});
// Mark it on the map, this is the original center
var marker = new google.maps.Marker({
position: myLatLng,
map: map,
title: 'Hello World!'
});
// If location services is enabled, the following should center the map on your location.
if (navigator.geolocation) {
navigator.geolocation.getCurrentPosition(function (position) {
var location = new google.maps.LatLng(position.coords.latitude, position.coords.longitude);
map.setCenter(location);
});
}
}