der Golf
gulf
A large sea bay that extends far into the land.
Viele Touristen verbringen ihren Urlaub am Golf von Mexiko.
Many tourists spend their vacation on the Gulf of Mexico.

gulf / golf
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gulf
A large sea bay that extends far into the land.
Viele Touristen verbringen ihren Urlaub am Golf von Mexiko.
Many tourists spend their vacation on the Gulf of Mexico.

You can recognize the meaning of 'Golf' from the context. Geographical names like 'von Mexiko' (of Mexico) point to the sea bay. The verb 'spielen' (to play) refers to the sport. Words like 'Auto' (car) or 'fahren' (to drive) show that the car model is meant.
Der Golf von Biskaya ist für starke Stürme bekannt.
The Bay of Biscay is known for strong storms.
In the geographical meaning, 'Golf' (gulf) almost always appears with a proper name connected by 'von' (of), e.g. 'der Golf von Aden' (the Gulf of Aden). The preposition 'am' describes the location on the coast.
Wir machen Urlaub in einem Hotel direkt am Golf von Neapel.
We are vacationing in a hotel right on the Gulf of Naples.
When talking about the sport, 'Golf' (golf) is usually used without an article together with the verb 'spielen' (to play). This structure is common with many sports.
Lernst du auch Golf spielen?
Are you learning to play golf too?
bay
'der Golf' and 'die Bucht' can both refer to a part of the sea that reaches into the land. The most important difference is size and shape. A 'Golf' is usually very large and reaches far into the land. A 'Bucht' can be smaller and is often a sheltered part of the coast. Learners may confuse the words because both look similar on maps. For large sea areas, 'Golf' is usually more fitting; for smaller or ordinary coastal spots, 'Bucht' sounds more natural.

Auf der Karte sieht man, wie weit der Golf in das Land hineinreicht.
On the map, you can see how far the gulf reaches into the land.
Am Morgen schwimmt die Familie in einer ruhigen Bucht.
In the morning, the family swims in a quiet bay.