Telegram API with Google Apps Script
I actively monitor Google Apps Script examples and I am not aware of samples integrating to the Telegram API. Given the level of security encryption required with the Telegram API I would suggest an integration with this service is unlikely due to Apps Script runtime limits.
I haven't found any examples to date of sending messages to a user but the Telegram service has posted large amounts of code, including their web client code, on Github and this would seem to be the best starting point for now.
Update: Telegram have created a Bot API which allows third party scripts to run in Telegram. The advantage of the Bot API is you don't need to do any message encryption. The PHP code sample could easily be ported to Apps Script.