"The man is reading the newspaper."
Translation:Der Mann liest die Zeitung.
Like all nouns ending in "-ung", Zeitung is feminine. In the accusative case, the feminine sgl. article is "die".
Feminine nouns (singular): die (nominative) - die (accusative)
Masculine nouns (singular): der (nominative) - den (accusative).
The form of the verb depends on who is doing something. Here, the man (= he) is doing something.
lesen (to read)
ich lese (I read; I am reading)
du liest (you [familiar singular] read; you [familiar singular] are reading)
er/sie/es liest (he/she/it reads; he/she/it is reading)
wir lesen (we read; we are reading)
ihr lest (you [familiar plural] read; you [familiar plural] are reading)
sie lesen (they read; they are reading)
Sie lesen (you [formal] read; you [formal] are reading)