An icon for Splashtop Remote is placed in the Status Bar as part of the installation process. If you do not see it in the Status Bar after installation, then try clicking on the arrow button in your system's Status Bar to open a menu of "hidden" icons.
When you hover the mouse pointer over the icon, the current status of Splashtop Remote will be displayed. If running, the IP address(es) will be displayed.
Clicking on the icon will open the five-tab Splashtop Remote Streamer setup dialog box. Examples below: