Having your Chromebook read aloud text is now possible in a number of ways. Chrome has recently got full support for native text-to-speech voices.
The native TTS voices do not involve downloading the speech were as networked TTS does. At the moment the native voices are of low quality speech but still provide the browser away to speak.
Native TTS application Chrome Speak and TTS engines can be be found on the Chrome Web Store.
The networked voices are of similar and grater quality and can speak in multiple languages. Because the networked voices involve downloading the speech it can be slower and may temporarily stop working when you exceed a limit and therefore not suitable for listening to longer texts.
Networked TTS application can be found on the Chrome Web Store: Speakit! and iSpeech's Select & Speak.
If you need to listen to more extensive texts using high quality voices you kan use some free online TTS applications such as Acapela Box and IVONA Recordings. IVONA Recordings appear to only function properly in an Incognito window.
Spokentext.net and Textaid.nu are paid subscription service that offer some more functionality and more languages.
