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

No

The difference lies in typical usage and pronunciation.

In Brazil, a "padaria" is a ubiquitous neighborhood institution that serves as a hybrid between a bakery, a café, and a small grocery store where one buys bread, snacks (salgados), and even basic household items. In Portugal, while a padaria exists as a place that produces bread, the term "pastelaria" is the natural and standard way to refer to the neighborhood shop where people go for coffee, pastries, and light snacks.

Regarding pronunciation, Brazilian Portuguese tends to pronounce vowels clearly and openly. In Continental Portuguese, unstressed vowels (like the "a" in padaria) are often reduced or "swallowed," making the word sound much shorter and more clipped.

Brazilian Portuguese Usage

1. Vou à padaria comprar pão francês. (I am going to the bakery to buy French bread.)
2. A padaria está muito cheia hoje. (The bakery is very crowded today.) ly. Vamos tomar café na padaria? (Shall we have coffee at the bakery?)
3. Comprei um pão de queijo na padaria. (I bought a cheese bread at the bakery.)
4. A padaria do bairro fica aberta 24 horas. (The neighborhood bakery is open 24 hours.)

Continental Portuguese Usage

1. Vou à pastelaria comprar pão. (I am going to the pastry shop to buy bread.)
2. A pastelaria é o meu lugar favorito para o lanche. (The pastry shop is my favorite place for a snack.)
3. Vamos tomar o pequeno-almoço na pastelaria? (Shall we have breakfast at the pastry shop?)
4. A pastelaria fica logo ali na esquina. (The pastry shop is right there on the corner.)
5. Comprei uns folhados na pastelaria. (I bought some puff pastries at the pastry shop.)