Google changed to signup process of Google Ad-sense, now create your Adsense account then you have immediate access to your new Adsense account. It takes around 48 hours for Google experts to complete review site after you add the code on your website. This can also help to save your time.
In the past you had to wait from Google for approval email to access your account but now Google make easy and more faster workflow for you.
Here is New Sign-up Screen for User: