The difference is how you think of the information.
"Today we will discuss animal behavior."
This is just a simple statement about the future.
"Today we will be discussing animal behavior."
This is more specific. It suggests that the future action will be a process. When you discuss something, it isn't a quick, momentary action. A discussion involves thought and listening, and it requires time to complete. By saying "will be discussing," it gives the sense that the action will take place over a period of time.