This refers to Pyotr Ilyich Tchaikovsky, whose compositions are celebrated for their melodic richness and emotional intensity. A work titled "2 Pieces" for a specific opus by him would likely be characteristic of his lyrical style.
Cultivate a beautiful tone and employ subtle rubato to enhance the expressive qualities of the melody.
2 Pieces (Op.1) is rated Henle level 5 of 9 — late intermediate repertoire, roughly ABRSM grades 6–7.
You should be comfortable at Henle level 5 — meaning you can already play level 4–5 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
2 Pieces (Op.1) is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.