auch
also
Expresses an addition or supplement; also, additionally.
Ich mag Kaffee und ich trinke auch gerne Tee.
I like coffee, and I also enjoy drinking tea.

also / even
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also
Expresses an addition or supplement; also, additionally.
Ich mag Kaffee und ich trinke auch gerne Tee.
I like coffee, and I also enjoy drinking tea.

The position of 'auch' (also/even) in the sentence determines what it refers to. It normally stands directly before the word or part of the sentence that is being added or emphasized.
Morgen gehe ich auch ins Museum.
Tomorrow I’m also going to the museum.
A very common two-part conjunction is 'nicht nur ..., sondern auch ...' (not only ..., but also ...). It connects two things and emphasizes that both are true.
Er spricht nicht nur Deutsch, sondern auch fließend Spanisch.
He speaks not only German, but also fluent Spanish.
When 'auch' (also/even) stands at the beginning of a sentence before a noun, it often means 'even'. It then expresses surprise or something unexpected.
Auch ein Experte kann sich einmal irren.
Even an expert can be wrong sometimes.
The combination 'auch wenn' (even if) introduces a subordinate clause. The conjugated verb always goes at the end of this subordinate clause.
Wir machen einen Ausflug, auch wenn das Wetter nicht perfekt ist.
We’re going on an outing, even if the weather isn’t perfect.
In wish sentences, which often begin with 'wenn' (if) and contain 'doch' or 'nur' (if only), 'auch' (also) intensifies the wish. It expresses a strong hope.
Wenn du doch auch hier wärst!
If only you were also here!
and
'auch' and 'und' can both add something. 'und' directly connects two words, parts of a sentence, or sentences: A and B belong together in a list or sequence. 'auch' says that something also applies, often in comparison with another person or thing. They can be confused because both add something in. 'und' is the normal connector, while 'auch' emphasizes: this applies additionally as well.

Sie kauft vor dem Termin auch noch Brot.
Before the appointment, she also buys some bread.
Aylin kocht nach der Arbeit Nudeln und Gemüse.
After work, Aylin cooks pasta and vegetables.