guide me where I have to put the initState() etc or any other solution? I want to display this modal sheet as my app launches the first screen it will. How can I achieve it in the flutter.
You can copy paste run full code below 
You can in initState use addPostFrameCallback call showModalBottomSheet 
code snippet
class _MyStatelessWidgetState extends State<MyStatelessWidget> {
  @override
  void initState() {
    super.initState();
    WidgetsBinding.instance.addPostFrameCallback((_) {
      show(context);
    });
  }
  ...
  void show(BuildContext context) {
    showModalBottomSheet<void>(
working demo

full code
import 'package:flutter/material.dart';
void main() => runApp(MyApp());
/// This is the main application widget.
class MyApp extends StatelessWidget {
  static const String _title = 'Flutter Code Sample';
  @override
  Widget build(BuildContext context) {
    return MaterialApp(
      title: _title,
      home: Scaffold(
        appBar: AppBar(title: const Text(_title)),
        body: MyStatelessWidget(),
      ),
    );
  }
}
/// This is the stateless widget that the main application instantiates.
class MyStatelessWidget extends StatefulWidget {
  MyStatelessWidget({Key key}) : super(key: key);
  @override
  _MyStatelessWidgetState createState() => _MyStatelessWidgetState();
}
class _MyStatelessWidgetState extends State<MyStatelessWidget> {
  @override
  void initState() {
    super.initState();
    WidgetsBinding.instance.addPostFrameCallback((_) {
      show(context);
    });
  }
  @override
  Widget build(BuildContext context) {
    return Center(
      child: ElevatedButton(
        child: const Text('showModalBottomSheet'),
        onPressed: () {
          show(context);
        },
      ),
    );
  }
  void show(BuildContext context) {
    showModalBottomSheet<void>(
      context: context,
      builder: (BuildContext context) {
        return Container(
          height: 200,
          color: Colors.amber,
          child: Center(
            child: Column(
              mainAxisAlignment: MainAxisAlignment.center,
              mainAxisSize: MainAxisSize.min,
              children: <Widget>[
                const Text('Modal BottomSheet'),
                ElevatedButton(
                  child: const Text('Close BottomSheet'),
                  onPressed: () => Navigator.pop(context),
                )
              ],
            ),
          ),
        );
      },
    );
  }
}
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