die Band
band
A group of musicians who make music together, especially in pop, rock, or jazz music.
Am Wochenende spielt eine lokale Band im Stadtpark.
A local band is playing in the city park this weekend.

band
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band
A group of musicians who make music together, especially in pop, rock, or jazz music.
Am Wochenende spielt eine lokale Band im Stadtpark.
A local band is playing in the city park this weekend.

'Die Band' is a loanword from English ('band'). Although the word is often pronounced as in English in German, the article is feminine: 'die Band'.
Meine Schwester singt in einer bekannten Band.
My sister sings in a well-known band.
Common verbs used with 'Band' are 'in einer Band spielen' (to play in a band), 'eine Band gründen' (to start/form a band), and 'einer Band beitreten' (to join a band).
Er träumt davon, eine eigene Band zu gründen.
He dreams of starting his own band.
Around the topic of concerts and music, 'Band' is often combined with expressions like 'eine Band live sehen' (to see a band live), 'ein Album der Band kaufen' (to buy an album by the band), or 'der Sänger der Band' (the singer of the band).
Gestern habe ich meine Lieblingsband zum ersten Mal live gesehen.
Yesterday I saw my favorite band live for the first time.
group
'die Gruppe' and 'die Band' can both mean several people who belong together or do something together. But 'die Gruppe' is very general: it can be friends, students, travelers, or even things. 'die Band' is more specific and means a group of musicians who make music together. So if it is not about music, 'Gruppe' fits. If musicians are performing or rehearsing together, 'Band' sounds more natural.

Die Band spielt am Samstag auf dem Stadtfest.
The band is playing at the town festival on Saturday.
Eine kleine Gruppe wartet vor dem Museum auf die Führung.
A small group is waiting in front of the museum for the guided tour.