What is the correct way to ask do you want to go to the movies with me this weekend in spanish?

The correct answer is ¿Quieres ir al cine conmigo éste fin de semana?

Explanation:

To ask someone if they want to do something you must use the verb Querer.

Now, if the person you ask gets the pronoun you, as is the case with the example, the correct way to conjugate the verb querer is Quieres.

Then, we have the verb go, which, as in English, in this case goes infinitive: IR.

The place where movies are played, in Spanish is called Cine.

Unlike English, the term "with me" is written all together, conmigo.

And finally, to indicate "the weekend" we use the expression Fin de semana.

cuando era un niño durante el verano salía a jugar con mis mejores amigos, ¿verdad?