minha implementação

package alura.com.br.Io.teste;

import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.FileInputStream;
import java.io.FileOutputStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.OutputStreamWriter;
import java.io.Writer;

public class RecebendoEJuntando {

    public static void main(String[] args) throws IOException {

        // leitura
        FileInputStream fis = new FileInputStream("lorem.txt");
        InputStreamReader isr = new InputStreamReader(fis);
        BufferedReader br = new BufferedReader(isr);

        // escrita
        OutputStream os = new FileOutputStream("teste.txt");
        Writer wr = new OutputStreamWriter(os);
        BufferedWriter bw = new BufferedWriter(wr);

        String lendo = br.readLine();

        while(lendo != null) {
            bw.append(lendo);
            lendo = br.readLine();
            bw.newLine();
        }

        bw.close();
    }
}

Deu tudo certo!