How to open a HTML file like you're using a Live Edit 2.0?

There's an option in the WebStorm called open in browser, which you can find clicking on the right mouse click and follow this path: Open in → Browser. However, you probably want a faster way to access it, so the fastest way to do it is changing the keymap setting: 

Go to Settings → Keymap → Main Menu → View → Open in Browser. With Open in Browser selected, add a keyboard shortcut like Ctrl + Alt + B or a shortcut you want and make the productivity easier:

Pressing the keyboard shortcut in HTML file, I recommend using default option or Built-in Preview (Default), but you can use other options to test