Does Infosys allow Facebook and twitter at their offices? What is life at Infosys like?

Yes, from January 2016 Infosys revised the Internet policy and have included more categories which can be accessed via company's network. The categories included are,

1. YouTube: Education, How to, Autos, News, Non-Profit, People, Technology, Travel, Video blog and Documentary movies
2. Social Networking - Facebook, Twitter, Google+, Myspace and Instagram
3. Private Email - Gmail, Yahoo mail and Hotmail/Outlook
4. Personal Sites - Blogger, Weibo, Wordpress, Daumblog, Live journal, Tumblr and Cyworld blog

You cannot send messages using Facebook messenger, you will not be able to upload or download videos, etc.

But if the client you are working for has a separate policy which violates the above policy change then you cannot access the above mentioned sites.