Wait for Skype to download. If you're using a Windows computer, clicking Get Skype will open the Windows Store app, at which point you'll have to click Get or Install in the Store app. On a Mac, Skype should download immediately download.
Install Skype if necessary. On a Windows computer, Skype installs after downloading; Mac users will have to install Skype by opening the Skype DMG file and then clicking and dragging the Skype icon onto the Applications folder.
Open Skype and sign in. If you already have a Skype username, you will be prompted to connect it to a Microsoft account. If you're on a Windows computer, you will usually be signed in using the Microsoft email address with which your computer is signed in.