通常は、画面の上部に固定の高さでWidgetを配置するために使い、その場合はScaffoldのappBarプロパティで使用します。
import 'package:flutter/material.dart';

void main() {
  runApp(const MyApp());
}

class MyApp extends StatelessWidget {
  const MyApp({Key? key}) : super(key: key);

  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      title: 'Flutter Demo',
      theme: ThemeData(
        primarySwatch: Colors.blue,
      ),
      home: const MyHomePage(title: 'Flutter Demo Home Page'),
    );
  }
}

class MyHomePage extends StatefulWidget {
  const MyHomePage({Key? key, required this.title}) : super(key: key);

  final String title;

  @override
  State<MyHomePage> createState() => _MyHomePageState();
}

class _MyHomePageState extends State<MyHomePage> {
  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: const Text('AppBar Demo'),
        actions: <Widget>[
          IconButton(
            icon: const Icon(Icons.add_alert),
            tooltip: 'Show Snackbar',
            onPressed: () {
              ScaffoldMessenger.of(context).showSnackBar(
                  const SnackBar(content: Text('This is a snackbar')));
            },
          ),
          IconButton(
            icon: const Icon(Icons.navigate_next),
            tooltip: 'Go to the next page',
            onPressed: () {
              Navigator.push(context, MaterialPageRoute<void>(
                builder: (BuildContext context) {
                  return Scaffold(
                    appBar: AppBar(
                      title: const Text('Next page'),
                    ),
                    body: const Center(
                      child: Text(
                        'This is the next page',
                        style: TextStyle(fontSize: 24),
                      ),
                    ),
                  );
                },
              ));
            },
          ),
        ],
      ),
      body: const Center(
        child: Text(
          'This is the home page',
          style: TextStyle(fontSize: 24),
        ),
      ),
    );
  }
}