Learn Finnish: Milloin me syömme?

In English, we use helper words like "do" to form questions ("When do we eat?"). Finnish doesn't use these. You simply put the question word (milloin) first, followed by the subject (me) and the verb (syömme). It translates literally as "When we eat?".

Why is the verb syömme instead of its dictionary form syödä?

In Finnish, verbs change their endings to match whoever is doing the action. The dictionary form for "to eat" is syödä. To say "we eat", you add the personal ending -mme (the "we" ending) to the verb's stem, making it syömme.

Is it possible to drop the word me (we) and just ask Milloin syömme?

Yes, absolutely! Because the verb ending -mme already tells us that the subject is "we", the pronoun me is optional. Both Milloin me syömme? and Milloin syömme? are perfectly correct and natural.