Romanian often drops subject pronouns when they are not needed, because the verb ending already shows who is doing the action.
So După ce semnez, fac și o copie pentru Ana is perfectly natural without eu.
You could add eu for emphasis, but normally it is omitted.
Because Romanian uses a conjugated verb after după ce.
English can sometimes use forms like after signing, but Romanian in this sentence uses a full clause:
If you used a semna here, it would not fit this structure.
Semnez is the 1st person singular present tense of a semna (to sign).
So:
Even though it is present tense in form, depending on context it can refer to:
Romanian often uses the present tense this way.
Fac is the 1st person singular present tense of a face (to do / to make).
Here it means I make:
This verb is very common and somewhat irregular, so it is worth memorizing:
Here și means also / too / as well.
It shows that making the copy is an additional action.
Without și, the sentence would simply say I make a copy for Ana, with less sense of in addition.
O is the indefinite article for a feminine singular noun, so:
Romanian usually includes the indefinite article just as English does in this kind of sentence.
Compare:
Since the sentence means a copy, o copie is the correct form.
Pentru means for, and it marks the person who benefits from the action.
This is the most direct and natural way to say that the copy is intended for her.
Romanian can sometimes express relationships through case endings, but in this sentence the simple preposition pentru is the normal choice.
The comma separates the introductory subordinate clause from the main clause.
This is standard punctuation in Romanian when a clause like after I sign comes first.
The given word order is very natural, but Romanian is somewhat flexible.
The sentence starts with the time clause:
This emphasizes when the second action happens.
You could also place the main clause first in some contexts, but the original version is the most straightforward and common for this meaning.
Yes. A face o copie is a normal Romanian expression meaning to make a copy.
So:
Depending on context, English might also say I make a photocopy or I copy it, but the Romanian phrase here is completely standard.