She ate a lovely feast and, on top of that, received New Year gifts.

Literal

She [topic-は] lovely feast [object-を] eat, on-top-of-that, New-Year [genitive-の] gifts [object-を] received.

Two events linked by the verb-stem (連用形) form 食べ — a written/literary alternative to the te-form 食べて for chaining clauses. The verb-stem connector is more compact and slightly more formal than ~て. おまけに ('on top of that / what's more') adds an additional fact, often something positive piling on; literally 'as a bonus' — おまけ originally means a free gift thrown in. 新年の贈り物 ('New Year's gifts') alludes to the お年玉 (otoshidama) tradition — money-filled envelopes given by adults to children at New Year. ごちそう refers to a fancy or hospitality meal, often associated with seasonal or celebratory occasions.