After doing so, your Macbook Pro should now boot using the new SSD. If you have earlier chose to back up everything, then your entire system should be cloned on to your SSD and everything should run fine. However, if you have left your Home folder out of the cloning process, you might find that a lot of your app settings are missing.
To rectify this, head into "System Preferences" and click on the "Users and Groups" pane. Click on the lock in the bottom left corner to unlock your account to make changes. Right click on your account and select "Advanced Options...".
Under the "Home Directory" field, select "Choose..." and navigate to the Home folder that's on your old drive. Log out and log back in. This should restore your app settings. It will also direct the OS to use your old hard drive for your User files such as documents, music and videos. Of course, this is assuming you will be using your old hard disk alongside your new SSD - since your SSD doesn’t have enough capacity to accommodate all your files in your old hard disk.