das Album
album
A collection of pieces of music that is released as a unit by an artist or band, e.g. on a CD, record, or as a digital playlist.
Die Band hat gerade ihr drittes Album veröffentlicht.
The band has just released their third album.

album
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album
A collection of pieces of music that is released as a unit by an artist or band, e.g. on a CD, record, or as a digital playlist.
Die Band hat gerade ihr drittes Album veröffentlicht.
The band has just released their third album.

'Album' is often used as the head word in compounds to specify the type of collection. Examples are 'Fotoalbum' (photo album), 'Sammelalbum' (collector's album), 'Musikalbum' (music album), or 'Debütalbum' (debut album).
Für ihre Bewerbung erstellte die Designerin ein Portfolio-Album mit ihren besten Arbeiten.
For her application, the designer created a portfolio album with her best work.
You can easily recognize which meaning is intended from the context. Words like 'Band' (band), 'Sänger' (singer), 'Lieder' (songs), or 'veröffentlichen' (to release) point to a music album. Words like 'Fotos' (photos), 'einkleben' (to paste in), or 'Briefmarken' (stamps) point to a collection book.
Ich habe mir das neue Album meiner Lieblingsband angehört.
I listened to the new album by my favorite band.
In a musical context, 'Album' is often combined with verbs like 'aufnehmen' (to record), 'produzieren' (to produce), 'veröffentlichen' (to release), or 'herausbringen' (to bring out/release).
Die Sängerin wird nächstes Jahr ein neues Album aufnehmen.
The singer will record a new album next year.
When it is about a collection book, typical verbs are 'durchblättern' (to leaf through), 'ansehen' (to look at), 'gestalten' (to design), or 'etwas in ein Album einkleben' (to paste something into an album).
Wir haben den ganzen Nachmittag das alte Briefmarkenalbum durchgeblättert.
We spent the whole afternoon leafing through the old stamp album.
gallery
'das Album' and 'die Galerie' can both refer to a collection of pictures. 'Album' sounds more like an organized collection, for example with photos from a trip, a celebration, or the family. In the past, this was often a book; today it can also be digital. On digital devices, 'Galerie' often means the area where many photos or videos are stored and displayed. Learners may confuse the words because both have to do with pictures. If you mean a specific collection, 'Album' is often a good fit. If you mean the photo area on a phone, 'Galerie' sounds more natural.

Meine Mutter zeigt uns am Sonntag das alte Album mit Fotos aus ihrer Jugend.
On Sunday, my mother shows us the old album with photos from her youth.
In der Galerie auf meinem Handy finde ich das Foto vom Termin nicht mehr.
I can no longer find the photo from the appointment in the gallery on my phone.