Is it true there are no plants living in Antarctica?

No. While there are certainly no trees or flowers, it would be false to say there are no plants in Antarctica. Plant life on and around the Antarctic continent is restricted to bryophytes (mosses and liverworts), 200 species of lichen, over 600 species of algae (most of which are phytoplankton), seaweed, pearl-wort and hair grass, and to the coastal areas and Antarctic peninsula.