Learn Spanish (Latin America): Bebo cerveza con la cena.

When you talk about consuming an unspecified amount of a food or drink, you leave out the article in Spanish, just like in English. You are drinking beer in general, not a specific bottle of beer.

Why is there a la before cena if we don't say "the dinner" in English?

Spanish generally requires a definite article (el or la) before meals when they follow a preposition like con (with), de (of/from), or para (for).

Could I say Yo bebo cerveza instead?

Yes, you can! However, because the verb bebo ends in -o, it already clearly means "I drink." Native Spanish speakers usually drop the yo unless they want to add emphasis.