من نان و سیب میخورم.

Yes, you can often drop من because the verb ending in می‌خورم already shows it’s I.

• With pronoun (more explicit/contrast): من نان و سیب می‌خورم.
• Without pronoun (more natural in many contexts): نان و سیب می‌خورم.
  You keep من when you want emphasis or contrast (e.g., من eat them, not someone else).

می‌ is the marker of the present imperfective, commonly used for:

• habitual actions (I eat / I usually eat)
• ongoing actions (I am eating) depending on context
  So می‌خورم can mean I eat or I’m eating; context decides.

It’s pronounced roughly mi-kho-ram (with خ like the throaty sound in Scottish loch).
In standard Persian orthography it’s usually written with a half-space (or ZWNJ) between می and the verb:

• می‌خورم (preferred)
  It may also appear as میخورم in informal typing, but می‌خورم is the standard.

No—خورم isn’t a standalone word here; it’s part of the verb خوردن (to eat).
Breakdown:

• infinitive: خوردن
• present stem: خور-
• 1st person singular ending: -م
  So: می + خور + م → می‌خورم (I eat / I’m eating).

Persian doesn’t have articles like a/an/the. Nouns can be understood as definite or indefinite from context.
If you want to clearly mark indefinite (a/some), you can use:

• یک: من یک سیب می‌خورم. (I eat an apple.)
• -ی (often informal/colloquial): من سیبی می‌خورم. (I eat an apple / some apple.)
  As written, نان و سیب can naturally mean bread and (an) apple / apples depending on context.

They’re two coordinated direct objects: bread + apple(s).
را is optional here and depends on meaning:

• Without را: من نان و سیب می‌خورم. (general, non-specific)
• With را: من نان و سیب را می‌خورم. (more specific/definite: the bread and the apple)
  Often, را appears when the object is definite, specific, or already known in the conversation.

Persian’s neutral order is typically SOV:

• من (subject) + نان و سیب (object) + می‌خورم (verb)
  You can move things for emphasis, but the verb commonly stays at the end in simple clauses.

Both are possible with می‌خورم. The sentence alone is ambiguous in that way.

• Ongoing: if you’re currently at the table eating, it’s naturally I’m eating...
• Habitual: in a general statement (e.g., describing your diet), it’s I eat... / I usually eat...
  To make it explicitly right now, you might add الان (now): الان نان و سیب می‌خورم.

Negation is made by adding نـ to the imperfective marker:

• من نان و سیب نمی‌خورم. (I don’t eat / I’m not eating bread and apples.)
  As with the affirmative, it’s best written with a half-space: نمی‌خورم.

You can form a yes/no question by intonation (rising tone) without changing word order:

• نان و سیب می‌خوری؟ (Do you eat / Are you eating bread and apples?)
  Or with the pronoun:
• تو نان و سیب می‌خوری؟
  You can also add آیا for a more formal question:
• آیا نان و سیب می‌خوری؟