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QUICK ANSWER
"Cuál es" is a form of "cuál es", a phrase which is often translated as "which is". "Que" is a form of "que", a conjunction which is often translated as "that". Learn more about the difference between "cuál es" and "que" below.
cuál es(
kwahl
ehs
)A phrase is a group of words commonly used together (e.g., once upon a time).
a. which is
Laura quiere el vestido color durazno, no el salmón, pero no sé cuál es cuál. Los dos se ven iguales.Laura wants the peach-colored dress, not the salmon, but I don't know which is which. They both look the same.
b. which one is
¿Cuál es tu hermano? - El que tiene el suéter rojo.Which one is your brother? - The guy in the red sweater.
c. which ... is
Entre la torre Eiffel y la torre inclinada de Pisa, ¿cuál es más alta?Between the Eiffel Tower and the Leaning Tower of Pisa, which building is taller?
a. what ... is
Honestamente, no entiendo cuál es el problema.Honestly, I don't understand what the problem is.
que(
keh
)A conjunction is a word that connects words, phrases, clauses, or sentences (e.g., The cat and the dog slept.).
a. that
Tenga en cuenta que algunas de estas características son diferentes.Note that some of these characteristics are different.
a. than
Es más barato comprar el libro en la librería que comprarlo online.It's cheaper to buy the book in the bookshop than to buy it online.
Mi hermano es más alto que yo.My brother is taller than me.
b. to
Prefiero las tiendas pequeñas que los grandes supermercados.I prefer small stores to big supermarkets.
A pronoun is a word that stands in for a noun (e.g., she).