anbrechen
to dawn
The beginning of a new period of time, especially a day, a night, or a new era.
Als der Morgen anbrach, machten sich die Wanderer auf den Weg.
When morning dawned, the hikers set off.

to dawn / to open / to crack
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to dawn
The beginning of a new period of time, especially a day, a night, or a new era.
Als der Morgen anbrach, machten sich die Wanderer auf den Weg.
When morning dawned, the hikers set off.

'Anbrechen' (to dawn/to open/to crack) is a separable verb. In a main clause, the prefix 'an-' moves to the end of the sentence. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Ein neuer Tag bricht an.
A new day dawns.
Pay attention to the auxiliary verb in the perfect tense! When a period of time begins, 'sein' (to be) is used. When someone opens a package or cracks/breaks something, 'haben' (to have) is used.
Die neue Ära ist angebrochen.
The new era has dawned.
You can recognize the meaning from the subject of the sentence. If the subject is a time expression like 'der Tag' (the day) or 'die Nacht' (the night), it is about the beginning. If the subject is a person, it is about opening a package or about an injury.
Der letzte Tag des Urlaubs brach an.
The last day of vacation dawned.
When a period of time begins, 'anbrechen' (to dawn) is often used with subjects like 'der Morgen' (the morning), 'der Tag' (the day), 'die Nacht' (the night), or also figuratively with 'ein neues Zeitalter' (a new age) or 'eine neue Ära' (a new era).
Mit dieser Erfindung ist ein neues Zeitalter angebrochen.
With this invention, a new age has dawned.
When it refers to an injury, the verb is often used reflexively with the dative: 'sich etwas anbrechen' (to crack/fracture something). The injured person is the subject, and the body part is in the accusative.
Er hat sich beim Fußballspielen den Zeh angebrochen.
He cracked his toe while playing soccer.
to begin
'beginnen' and 'anbrechen' can both express the beginning of something. 'beginnen' is general and can be used for actions, courses, conversations, or events. 'anbrechen' is used mainly for periods of time such as a day, night, morning, or a new era. It sounds somewhat more figurative or elevated. So you say: 'Der Unterricht beginnt' (class begins), but 'Der Morgen bricht an' (morning dawns). For normal activities, 'beginnen' is more natural.

Als die Nacht anbricht, werden die Straßen im Dorf still.
As night falls, the streets in the village become quiet.
Sie beginnt die Reise früh, damit sie am Abend im Hotel ist.
She begins the trip early so that she will be at the hotel in the evening.