The only thing you can't do on Telegram for Desktop is to continue a private conversation, as this type of conversation is strictly limited to your mobile phone for security reasons.
Telegram for Desktop has a clean and accessible interface that makes communicating with your contacts very easy. You just have to click a name and you can start chatting in that same window. It's that quick and easy. Now you can chat with your Telegram contacts from your home or work computer, without depending on your smartphone.