QUICK ANSWER
"Notaría" is a form of "notaría", a noun which is often translated as "notary's office". "Juez" is a noun which is often translated as "judge". Learn more about the difference between "juez" and "notaría" below.
el juez, la jueza(
hwehs
)This means that the noun can be masculine or feminine, depending on the gender of the noun it refers to (e.g., el doctor, la doctora).
la notaría(
noh
-
tah
-
ree
-
ah
)A feminine noun is almost always used with feminine articles and adjectives (e.g., la mujer bonita, la luna llena).
a. notary's office
Tengo que ir a la notaría a autenticar mi firma en unos documentos.I need to go to the notary's office to authenticate my signature on a few documents.
2. (profession)
a. notarial profession
Elisa está tomando unas clases para dedicarse a la notaría.Elisa is doing a course so she can go into the notarial profession.