Le gusta hacer el almuerzo = He likes, She likes, or You (formal) like to make lunch.
To clarify which one you mean, you can add an optional "a-phrase": a él, a ella, or a usted.
After you add the "a-phrase", the required "le" remains but can be considered untranslated.
Start it with Él if "he" is the one doing the action in a sentence, as in "Él hace el almuerzo" ("He" is the subject; "He" is the one doing the 'making' [of almuerzo]).
Start it with A él, and never just Él, for sentences with gustar (as what we have here) because, the way it's expressed in Spanish, "what he's doing" is the one doing the 'pleasing' (hacer [el almuerzo]) to him (= a él). (In other words, hacer el almuerzo is the subject.)
The 'a' is part of the prepositional phrase "a él," which means "to him." It's optional here. It's used for clarification, emphasis or just because.
We could just say
"Le gusta hacer el almuerzo."
"To make lunch is pleasant to him/her/it/you."
"He/She/It/you like to make lunch."
But that's pretty vague. Without context, "le" could be anyone. We add "a él" to be more specific about who we are talking about.
"A él le gusta hacer el almuerzo."
"To him to make lunch is pleasant to him."
"He likes to make lunch."
Since we're saying "a él," "le" can only mean "him."
The 'a' is uniquely Spanish and has no English equivalent. Basically if the subject is a person, friend, pet or people you know whose face you can picture, then use the 'a' preposition as a mark of respect. If the subject is an object or a person you don't know then there's no requirement to use the 'a' preposition. Eg. I am looking for my friend = Estoy buscando a mi amigo. I am looking for my cat = Estoy buscando a mi gato. Whereas,. I'm looking for my car = Estoy buscando mi carro. I'm looking for a cat = Estoy buscando un gato
The female narrator definitely speaks very quickly, but according to native speakers it's how many people actually speak Spanish. I'm sure you find people taking the English course feel the same about the "normal" speed i.e. 'they don't enunciate enough!' Either way, I'm sure by now after 11 months you are more used to it! To everyone else having trouble listening, keep on trying! You'll eventually be able to pick out more and more words at normal speed.
I agree (about the female speaker), but just as Helbino said, it can be useful. I heard "A el gusta ser el almuerzo", which is wrong. So I guessed that there is a 'le' between 'el' and 'gusta'. To 'understand' the word 'ser' (he obviously cannot like to 'be' a lunch) I had to listen to the slow version. Now I know that 'gusta ser' is actually 'gusta hacer', and I am sure it would be very useful down the road.
"Se" is a reflexive pronoun that mean "himself/herself/itself/themselves/yourself(ud.)/yourselves(ud.)."
"Él se ducha."
Literally: "He showers himself."
Meaning: "He showers."
"Ella se llama Maria."
Literally: "She calls herself Maria."
Meaning: "Her name is Maria."
More on reflexive pronouns: https://www.spanishdict.com/guide/reflexive-verbs-and-reflexive-pronouns
"Le" is a an indirect object pronoun that means "him/her/it/you(ud.)."
"Le cocino la comida."
"I cook him/her/it/you food."
"A ella le gusta."
Literally: "To her, it is pleasant to her."
Meaning: "She likes it."
More on object pronouns: https://www.spanishdict.com/guide/direct-and-indirect-object-pronouns-in-spanish
Just like 'Yo tengo ...' and 'Tengo ...' mean the same thing, 'a' can be both used and omitted with 'gusta'. 'A mi me gusta ...' and 'Me gusta ...' mean the same thing — "I like ...", or, more word-for-word, "... pleases me'.
So "A el le gusta ..." and "Le gusta ..." are the same thing, although only the first one clearly specifies that we are talking about 'he' and not 'she' or formal 'you'. Usually it is clear from the context, but, alas, Duo has none.
Good question. 'Al' is the combination of the preposition 'a' (translated differently into English, primarily as 'to', but sometimes not at all) and masculine definite article 'el' ('the'). Here we have 'a él', which is a combination of the preposition 'a' (again) and pronoun 'él' ('he'). 'A él' does not combine into 'al (ál?)'.