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1. First, import the required packages for Lazy Loading and Slideshow in your Flutter project.

2. Create a GridView widget with a builder function and set its itemCount to the total number of images you want to display.

3. Define your image URLs or paths in a list.

4. Implement a lazy loading feature by using the package lazyloadscrollview. This package allows you to load more data as the user scrolls down the screen.

5. In the builder function of the GridView, add a conditional statement to check whether the last item of the list has been reached. If it has, then load more data using the lazy loading package.

6. Add a Slideshow widget to your GridView. The slideshow can be set up to automatically display the images, or the user can manually swipe through them.

7. Finally, customize the slideshow widget to fit your design requirements.

Example code:

import 'package:flutter/material.dart';
import 'package:lazy_load_scrollview/lazy_load_scrollview.dart';
import 'package:flutter_slideshow/flutter_slideshow.dart';

class MyGridView extends StatefulWidget {
  @override
  _MyGridViewState createState() => _MyGridViewState();
}

class _MyGridViewState extends State<MyGridView> {
  List<String> _imageUrls = [
    'https://example.com/image1.jpg',
    'https://example.com/image2.jpg',
    'https://example.com/image3.jpg',
    'https://example.com/image4.jpg',
  ];

  int _currentIndex = 0;

  @override
  Widget build(BuildContext context) {
    return LazyLoadScrollView(
      onEndOfPage: () => _loadMoreData(),
      child: GridView.builder(
        itemCount: _imageUrls.length,
        gridDelegate: SliverGridDelegateWithFixedCrossAxisCount(
          crossAxisCount: 2,
          mainAxisSpacing: 10,
          crossAxisSpacing: 10,
        ),
        itemBuilder: (BuildContext context, int index) {
          if (index == _imageUrls.length - 1) {
            return _buildLoading();
          } else {
            return _buildImage(index);
          }
        },
      ),
    );
  }

  Widget _buildLoading() {
    return Center(
      child: CircularProgressIndicator(),
    );
  }

  Widget _buildImage(int index) {
    return GestureDetector(
      onTap: () => _showImage(index),
      child: Image.network(
        _imageUrls[index],
        fit: BoxFit.cover,
      ),
    );
  }

  void _loadMoreData() {
    // Load more data here...
  }

  void _showImage(int index) {
    setState(() {
      _currentIndex = index;
    });
  }

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      appBar: AppBar(
        title: Text("My Images"),
      ),
      body: Column(
        children: [
          Expanded(
            child: Slideshow(
              autoPlay: true,
              width: double.infinity,
              height: 200.0,
              indicators: true,
              children: _imageUrls.map((url) {
                return Image.network(
                  url,
                  fit: BoxFit.cover,
                );
              }).toList(),
            ),
          ),
          Expanded(
            child: LazyLoadScrollView(
              onEndOfPage: () => _loadMoreData(),
              child: GridView.builder(
                itemCount: _imageUrls.length,
                gridDelegate: SliverGridDelegateWithFixedCrossAxisCount(
                  crossAxisCount: 2,
                  mainAxisSpacing: 10,
                  crossAxisSpacing: 10,
                ),
                itemBuilder: (BuildContext context, int index) {
                  if (index == _imageUrls.length - 1) {
                    return _buildLoading();
                  } else {
                    return _buildImage(index);
                  }
                },
              ),
            ),
          ),
        ],
      ),
    );
  }
}