alvareztech/MainActivity.java

## activity_main.xml
<?xml version="1.0" encoding="utf-8"?>
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:tools="http://schemas.android.com/tools"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:orientation="vertical"
    android:paddingBottom="@dimen/activity_vertical_margin"
    android:paddingLeft="@dimen/activity_horizontal_margin"
    android:paddingRight="@dimen/activity_horizontal_margin"
    android:paddingTop="@dimen/activity_vertical_margin"
    tools:context="tech.alvarez.ejemploweb.MainActivity">

    <Button
        android:layout_width="match_parent"
        android:layout_height="48dp"
        android:onClick="abrir"
        android:text="@string/abrirWeb" />

    <WebView
        android:id="@+id/webView"
        android:layout_width="match_parent"
        android:layout_height="match_parent" />


</LinearLayout>

## build.gradle
// build.gradle del módulo
apply plugin: 'com.android.application'

android {
    compileSdkVersion 24
    buildToolsVersion "24.0.0"

    defaultConfig {
        applicationId "tech.alvarez.ejemploweb"
        minSdkVersion 15
        targetSdkVersion 24
        versionCode 1
        versionName "1.0"
    }
    buildTypes {
        release {
            minifyEnabled false
            proguardFiles getDefaultProguardFile('proguard-android.txt'), 'proguard-rules.pro'
        }
    }
}

dependencies {
    compile fileTree(dir: 'libs', include: ['*.jar'])
    testCompile 'junit:junit:4.12'
    compile 'com.android.support:appcompat-v7:24.0.0'

    compile 'com.android.support:customtabs:24.0.0'
}

## MainActivity.java
package tech.alvarez.ejemploweb;

import android.net.Uri;
import android.os.Bundle;
import android.support.customtabs.CustomTabsIntent;
import android.support.v4.content.ContextCompat;
import android.support.v7.app.AppCompatActivity;
import android.view.View;
import android.webkit.WebView;

public class MainActivity extends AppCompatActivity {

    private WebView webView;

    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        setContentView(R.layout.activity_main);


        webView = (WebView) findViewById(R.id.webView);

        String html = "<html><body><h2>Un título</h2>Este es un <b>ejemplo</b> de contenido.</body></html>";
        webView.loadData(html, "text/html; charset=utf-8", null);
    }

    public void abrir(View view) {
        String url = "http://alvarez.tech/cursos/android";
        CustomTabsIntent.Builder builder = new CustomTabsIntent.Builder();
        builder.setToolbarColor(ContextCompat.getColor(this, R.color.colorPrimary));
        CustomTabsIntent customTabsIntent = builder.build();
        customTabsIntent.launchUrl(this, Uri.parse(url));
    }
}

## strings.xml
<resources>
    <string name="app_name">EjemploWeb</string>
    <string name="abrirWeb">Abrir Web</string>
</resources>
	<?xml version="1.0" encoding="utf-8"?>
	<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
	xmlns:tools="http://schemas.android.com/tools"
	android:layout_width="match_parent"
	android:layout_height="match_parent"
	android:orientation="vertical"
	android:paddingBottom="@dimen/activity_vertical_margin"
	android:paddingLeft="@dimen/activity_horizontal_margin"
	android:paddingRight="@dimen/activity_horizontal_margin"
	android:paddingTop="@dimen/activity_vertical_margin"
	tools:context="tech.alvarez.ejemploweb.MainActivity">

	<Button
	android:layout_width="match_parent"
	android:layout_height="48dp"
	android:onClick="abrir"
	android:text="@string/abrirWeb" />

	<WebView
	android:id="@+id/webView"
	android:layout_width="match_parent"
	android:layout_height="match_parent" />


	</LinearLayout>
	// build.gradle del módulo
	apply plugin: 'com.android.application'

	android {
	compileSdkVersion 24
	buildToolsVersion "24.0.0"

	defaultConfig {
	applicationId "tech.alvarez.ejemploweb"
	minSdkVersion 15
	targetSdkVersion 24
	versionCode 1
	versionName "1.0"
	}
	buildTypes {
	release {
	minifyEnabled false
	proguardFiles getDefaultProguardFile('proguard-android.txt'), 'proguard-rules.pro'
	}
	}
	}

	dependencies {
	compile fileTree(dir: 'libs', include: ['*.jar'])
	testCompile 'junit:junit:4.12'
	compile 'com.android.support:appcompat-v7:24.0.0'

	compile 'com.android.support:customtabs:24.0.0'
	}
	package tech.alvarez.ejemploweb;

	import android.net.Uri;
	import android.os.Bundle;
	import android.support.customtabs.CustomTabsIntent;
	import android.support.v4.content.ContextCompat;
	import android.support.v7.app.AppCompatActivity;
	import android.view.View;
	import android.webkit.WebView;

	public class MainActivity extends AppCompatActivity {

	private WebView webView;

	@Override
	protected void onCreate(Bundle savedInstanceState) {
	super.onCreate(savedInstanceState);
	setContentView(R.layout.activity_main);


	webView = (WebView) findViewById(R.id.webView);

	String html = "<html><body><h2>Un título</h2>Este es un <b>ejemplo</b> de contenido.</body></html>";
	webView.loadData(html, "text/html; charset=utf-8", null);
	}

	public void abrir(View view) {
	String url = "http://alvarez.tech/cursos/android";
	CustomTabsIntent.Builder builder = new CustomTabsIntent.Builder();
	builder.setToolbarColor(ContextCompat.getColor(this, R.color.colorPrimary));
	CustomTabsIntent customTabsIntent = builder.build();
	customTabsIntent.launchUrl(this, Uri.parse(url));
	}
	}
	<resources>
	<string name="app_name">EjemploWeb</string>
	<string name="abrirWeb">Abrir Web</string>
	</resources>