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

Yes

The word "terra" is identical in spelling, meaning, and grammar in both Brazilian and Continental Portuguese. The only difference is pronunciation. In Brazilian Portuguese, the "e" is typically pronounced as an open vowel [ɛ], and the rhythm of speech is more syllable-timed. In Continental Portuguese, unstressed vowels are often more closed or reduced, and the rhythm is more stress-timed, which changes the cadence of the word within a sentence.

Brazilian Portuguese Examples

1. A terra está muito seca depois da chuva. (The ground is very dry after the rain.)
2. Eu gosto de plantar flores na terra. (I like to plant flowers in the soil.)
3. Tem muita terra no meu tênis. (There is a lot of dirt on my sneaker.)
4. A Terra é o único planeta que conhecemos com vida. (Earth is the only planet we know with life.)
5. Eles estão conquistando novas terras. (They are conquering new lands.)

Continental Portuguese Examples

1. O chão está muito seco depois da chuva. (The ground is very dry after the rain.)
2. Gosto de plantar flores na terra. (I like to plant flowers in the soil.)
3. Tem muita terra no meu sapato. (There is a lot of dirt on my shoe.)
4. A Terra é o único planeta que conhecemos com vida. (Earth is the only planet we know with life.)
5. Eles estão a conquistar novas terras. (They are conquering new lands.)