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"Local" is an adjective which is often translated as "local", and "peluquería" is a noun which is often translated as "hair salon". Learn more about the difference between "local" and "peluquería" below.
local, el local(
loh
-
kahl
)An adjective is a word that describes a noun (e.g., the big dog).
a. local 
La gastronomía local de esta región se basa sobre todo en verduras y pescado.The local cuisine from this region uses mostly vegetables and fish.
2. (municipal)
a. local 
Las calles están cerradas a causa de las elecciones locales.The streets are closed due to local elections.
3. (medicine)
A masculine noun is used with masculine articles and adjectives (e.g., el hombre guapo, el sol amarillo).
a. store 
Compré la licuadora por internet y mañana pasaré por el local a retirarla.I bought the blender online and will pick it up from the store tomorrow.
c. premises 
Señor, si no deja de gritar, tendré que acompañarlo fuera del local.Sir, if you don't stop yelling, I'll have to escort you from the premises.
la peluquería(
peh
-
loo
-
keh
-
ree
-
ah
)A feminine noun is almost always used with feminine articles and adjectives (e.g., la mujer bonita, la luna llena).
b. salon 
Un corte de pelo cuesta diez dólares en esa peluquería.A haircut costs ten dollars at that salon.
c. barbershop  (for men)
Francisco fue a la peluquería a cortarse el cabello.Francisco went to the barbershop to get his hair cut.
d. hairdresser's 
Tamara va a ir a la peluquería antes de la fiesta a peinarse.Tamara is going to go to the hairdresser's before the party to get her hair styled.
2. (occupation)
a. hairdressing 
Karla estudió peluquería por seis meses antes de abrir su negocio.Karla studied hairdressing for six months before opening her business.
b. hairstyling 
La peluquería es un oficio con varias salidas.Hairstyling is a job that has several openings.