Indian Mobile Operators provide the Global Roaming Connectivity in Bhutan, However, it is expensive. Please check with your operator about Global Roaming Activation / Incoming and Out Going Charges. Tourists can easily get the Bhutan Tourists SIM card (Tashi Cell and BMobile ) at Rs 200/- with data option at Rs 99/- for 400 MB data. NatureWings Operation Team based in Bhutan will help you to get the local SIM card over there.
All Hotels provide the Free Wi-Fi facility at the Hotel Lobby / Restaurant / Reception level. Some of the hotels also provide Free Wi-Fi at the room.