Learn French: Cette fille ne mange pas de porc.

Normally, to say 'some pork' you use the partitive article du because porc is a masculine, uncountable thing (manger du porc). However, in negative sentences, the articles un, une, des, du, and de la change to just de (or d' before a vowel). This rule means 'not any pork' is always pas de porc.

Why do we use cette here instead of ce?

Fille is a feminine word, so you must use the feminine form for 'this', which is cette. If you were talking about a masculine word, like garçon (boy), you would use ce instead (ce garçon).

Is the 'c' at the end of porc pronounced?

No, the 'c' in porc is completely silent! The word sounds like 'por'. In French, final consonants are often silent, especially D, P, S, T, X, and sometimes C.

Why is it ne mange pas instead of something like ne fait pas mange for 'doesn't eat'?

In English, we use helping words like 'does' or 'do' to make a negative sentence ('does not eat'). French doesn't use helping words for this. You just take the normal verb (mange) and put ne before it and pas after it.