For a nice way to start discovering plants around you I recommend the excellent iNaturalist app/site: See a plant, snap a photo and the app will suggest what it thinks it is. Other users can help with identification if the app fails.

Besides beeing a kind of nerdy pokemon go (how many organisms can you collect?) it's also crowd-sourced science.

My latest catch is this guy: https://www.inaturalist.org/taxa/62060-Palomena-prasina