Learn Italian: Noi andiamo al cinema con te. - We go to the cinema with you.

In Italian, after a preposition like con (with), you must use a "stressed" pronoun instead of a normal subject pronoun. So, "with me" is con me, and "with you" is con te. You can never say con tu!

Why do we say al cinema instead of just a cinema or in cinema?

Going "to the cinema" or "to the movies" always uses the preposition a combined with the masculine definite article il (the). When you combine a + il, you get al. It is a set phrase you just have to memorize, similar to al supermercato (to the supermarket).

Is cinema a feminine word since it ends in -a?

No, cinema is actually masculine! It is short for cinematografo, an older word for a movie theater. Because the original word was masculine, the short version kept the masculine gender. That is why it takes the masculine article il (which is hidden inside al).

Could I leave out the word noi and just say andiamo al cinema con te?