Many Xbox 360 models include built-in Wi-Fi capabilities. To determine if your specific console has it, you can:
Check the back of the console: Look for a Wi-Fi symbol or the words "Wireless Networking."
Look at the model number: The "E" models (like "Xbox 360 E") typically have built-in Wi-Fi.
Check the console's settings: If you have a wired connection, you should be able to access the network settings and see if Wi-Fi is listed as an option.
If your Xbox 360 doesn't have built-in Wi-Fi, you can purchase a separate wireless adapter to enable wireless connectivity.