There's a Flutter plugin called Geolocator that provides access to the platform-specific location services. Let's get started, as follows:

1. We need to add the dependency in the pubspec.yaml file, like this:

  geolocator: ^5.3.0

2. Then, in the main.dart file, we'll import the Geolocator library, as follows:

import 'package:geolocator/geolocator.dart';

3. In order to find the current location of our user, we'll create a new method called _getCurrentLocation that will use the device GPS to find the latitude and longitude of the current location, and return it to the caller, as follows:

  Future _getCurrentLocation() async {}

Geolocator methods are all asynchronous, so our method will be asynchronous as well.

4. Not all devices have the geolocation service available, so, inside the _getCurrentLocation method, we can check whether the functionality is available or not before finding the current position, by running the following code:

bool isGeolocationAvailable = await Geolocator().isLocationServiceEnabled(); 

5. Then, if the service is available, we'll try to get the current position; otherwise, we'll return the previously set fixed position, as follows:

Position _position = Position(latitude: this.position.target.latitude, longitude: this.position.target.longitude);
    if (isGeolocationAvailable) {
      try { 
        _position = await Geolocator().getCurrentPosition(
        desiredAccuracy: LocationAccuracy.best);
      }
      catch (error) {
        return _position;
      }
    }
    return _position;

Now that we have the current location of our user, let's see how to place a marker on that position on the map.