Me gustan la cerámica y la alfarería.

Because gustar works differently from to like in English.

In Spanish, gustar literally works more like to be pleasing to. So:

• me = to me
• gustan = are pleasing
• la cerámica y la alfarería = the things that are pleasing

So the structure is closer to:

Ceramics and pottery are pleasing to me.

That is why Spanish uses me gustan, not yo gusto.

Because the subject of the verb is la cerámica y la alfarería, and that is plural because it refers to two things joined by y.

• la cerámica = one thing
• la alfarería = another thing
• together = plural

So the verb must be plural:

• Me gusta la cerámica.
• Me gustan la cerámica y la alfarería.

Even though cerámica and alfarería are each singular on their own, they form a compound subject when joined by y.

So Spanish treats them as two separate things, which makes the subject plural overall.

Compare:

• Me gusta la cerámica.
• Me gusta la alfarería.
• Me gustan la cerámica y la alfarería.

Me is an indirect object pronoun, and here it means to me.

With gustar, Spanish normally uses these pronouns:

• me = to me
• te = to you
• le = to him / her / you (formal)
• nos = to us
• os = to you all
• les = to them / you all

So:

• Me gusta... = I like...
• literally, ... is pleasing to me

Spanish often uses the definite article when talking about things in a general sense, especially with nouns like subjects, arts, activities, or categories.

So Spanish naturally says:

• la cerámica
• la alfarería

And when two nouns are joined, it is very common to repeat the article:

• la cerámica y la alfarería

This sounds natural and standard.

Normally, no. In standard Spanish, you would usually repeat the article here:

• la cerámica y la alfarería

Leaving it out sounds unnatural in this sentence.

They are related, but not exactly the same.

• cerámica is broader. It can refer to ceramics as a material, an art form, or ceramic objects in general.
• alfarería is more specific and usually refers to pottery or the craft of making pottery.

So alfarería is a type of cerámica, but cerámica can include more than just pottery.

Yes. You can also say:

La cerámica y la alfarería me gustan.

This is grammatically correct too. The meaning stays the same, but the emphasis changes slightly.

• Me gustan la cerámica y la alfarería is a very natural neutral order.
• La cerámica y la alfarería me gustan puts more focus on the things being liked.

No. Me already tells you who is doing the liking.

So the normal sentence is:

Me gustan la cerámica y la alfarería.

You can add a mí for emphasis or contrast:

A mí me gustan la cerámica y la alfarería.

That sounds like:

• I like ceramics and pottery.
• As for me, I like ceramics and pottery.

Because the stress falls on má: ce-rá-mi-ca.

Spanish spelling rules require a written accent on all esdrújula words, which are words stressed on the third-to-last syllable.

So cerámica must have the accent mark.

Because the stress falls on the í: al-fa-re-rí-a.

The accent mark shows that the í is pronounced clearly as its own syllable, rather than blending smoothly with the surrounding vowels.

So the written accent helps show the correct pronunciation.

No. Gustan is the verb.

The subject is la cerámica y la alfarería, because those are the things that are pleasing.

That can feel unusual to English speakers, because English usually puts the person first:

• I like ceramics and pottery.

But in Spanish with gustar, the thing liked is the grammatical subject:

• Me gustan la cerámica y la alfarería.