In farmacia, la farmacista Le consiglia una crema per le mani secche.

In farmacia means at the pharmacy / in the pharmacy in a general, situational sense. Italian often uses in + place to describe the setting where something happens.

• In farmacia = at the pharmacy, in the pharmacy
• Alla farmacia is much less natural here. It would sound more like movement toward the pharmacy in some contexts, or a less idiomatic way of expressing location.

So In farmacia is the normal way to set the scene.

Yes. La farmacista is feminine, so it refers to a female pharmacist.

Italian job titles usually agree with the gender of the person:

• il farmacista = male pharmacist
• la farmacista = female pharmacist

So this sentence specifically tells you that the pharmacist is a woman.

The capital L in Le shows formal address. It means to you in a polite, formal way.

• Le consiglia = she recommends to you (formal)
• ti consiglia = she recommends to you (informal)

In modern Italian, capitalization is common in polite writing, though you may also see lowercase le. The capital letter helps make the formality clear.

Here Le is an indirect object pronoun meaning to you in the formal singular.

So:

• la farmacista Le consiglia una crema
  = the pharmacist recommends a cream to you

It is not the subject and not the direct object. The direct object is una crema.

Because the subject is la farmacista, which is third person singular: she.

The verb consigliare in the present tense is:

• io consiglio
• tu consigli
• lui/lei consiglia
• noi consigliamo
• voi consigliate
• loro consigliano

Since la farmacista = she, the correct form is consiglia.

In Italian, object pronouns like mi, ti, gli, le, ci, vi, loro/Le usually come before a conjugated verb.

So:

• Le consiglia una crema = she recommends you a cream / she recommends a cream to you

English usually puts to you after the verb, but Italian places the pronoun before it.

Literally, it means:

• una crema = a cream
• per = for
• le mani = the hands
• secche = dry

So word-for-word: a cream for the dry hands

Natural English usually says a cream for dry hands.

Italian often uses the definite article with parts of the body, especially where English often uses a possessive or no article.

So Italian says:

• le mani = the hands

Even though English would naturally say dry hands, Italian prefers le mani secche here.

This is very common with body parts:

• mi lavo le mani = I wash my hands
• ha male alla testa = he/she has a headache, literally has pain at the head

Because secche describes mani, and adjectives in Italian must agree with the noun they describe.

• mano is feminine
• plural of mano is mani
• feminine plural adjective form of secco is secche

Agreement here is:

• le mani secche = the dry hands

Mano is an irregular noun. It ends in -o, which often suggests masculine, but it is actually feminine:

• la mano = the hand
• le mani = the hands

So even though it looks unusual, you simply have to learn it as an exception.

Yes, that is also possible and often sounds a bit more general or product-label-like:

• una crema per le mani secche = a cream for the dry hands / for dry hands
• una crema per mani secche = a cream for dry hands

Both are understandable. In everyday speech, per le mani secche is very natural.

The structure is:

• In farmacia = setting/place
• la farmacista = subject
• Le = indirect object pronoun, to you (formal)
• consiglia = verb
• una crema per le mani secche = direct object + description

So the pattern is essentially:

At the pharmacy, the pharmacist recommends you a cream for dry hands.

More natural English: At the pharmacy, the pharmacist recommends a cream for your dry hands.

Yes, it sounds natural. It is a standard kind of sentence you might hear in a pharmacy or see in a learning textbook.

A slightly more conversational version could also be:

• In farmacia, la farmacista Le consiglia una crema per le mani secche.
• La farmacista Le consiglia una crema per le mani secche.
• La farmacista Le consiglia una crema per le mani.
  if the context already makes clear that the hands are dry

But the original sentence is perfectly good Italian.