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QUICK ANSWER
"La que" is a phrase which is often translated as "the one that", and "la cual" is a phrase which is often translated as "that". Learn more about the difference between "la que" and "la cual" below.
la que
A phrase is a group of words commonly used together (e.g., once upon a time).
a. the one that
No me gusta esta bufanda. La que compré en el mercado de pulgas es más linda.I don't like this scarf. The one that I bought at the flea market is prettier.
b. whichever
¿Qué tarea elijo? - La que elijas te enseñara algo nuevo.What task do I choose? - Whichever you choose will teach you something new.
la cual
A phrase is a group of words commonly used together (e.g., once upon a time).
1. (general)
a. that (things, animals)
Esta es la serie de TV sobre la cual te hablé. ¡Es buenísima!This is the TV show that I told you about. It's really good!
b. which (things, animals)
Ordenamos la sopa de Spam, la cual se veía buena en la foto, pero resultó ser asquerosa.We ordered the Spam soup, which looked good in the picture, but it turned out to be disgusting.