Many thanks for reaching out via the Bose Community.
The speaker in your picture appears to be a SoundTouch series II or III system. If the speaker has a Bluetooth button, you can use this as a method for a wireless connection, alternatively, you can use the AUX input to make a physical wired connection.
Alternatively, you can set the speaker up with the SoundTouch app to access music services such as TuneIn, Spotify, and Amazon Music to name a few. Details for SoundTouch setup can be found here, and instructions for adding the speaker to the account here.