Is the word celular the same in Brazilian and European Portuguese?

No. While the spelling and underlying meaning are the same, there is a significant difference in typical usage. In Brazil, "celular" is the standard and universal term for a mobile phone. In Portugal, the standard term is "telemóvel." While a Portuguese person would understand "celular," they would almost never use it in natural, everyday conversation.

Brazilian Portuguese Usage

1. Eu perdi meu celular no ônibus. (I lost my cell phone on the bus.)
2. Você viu o meu celular por aí? (Have you seen my cell phone around?)
3. Vou comprar um celular novo no mês que vem. (I am going to buy a new cell phone next month.)
4. O celular está sem bateria. (The cell phone is out of battery.)
5. Desligue o celular durante a reunião. (Turn off the cell phone during the meeting.)

Continental Portuguese Usage

1. Eu perdi o meu telemóvel no autocarro. (I lost my mobile phone on the bus.)
2. Viste o meu telemóvel por aí? (Have you seen my mobile phone around?)
3. Vou comprar um telemóvel novo no próximo mês. (I am going to buy a new mobile phone next month.)
4. O telemóvel está sem rede. (The mobile phone has no signal/network.)
5. Desliga o telemóvel durante a reunião. (Turn off the mobile phone during the meeting.)