Your academic plant geneticist is usually a specialist in some aspect of inheritance, working with molecular biology and related tools to describe observed variation and how it is related to genetic information, usually in the form of nucleic acids. The choice of a particular plant as a model organism (for example Arabidopsis) may be for the purpose of convenience, in terms of techniques and tools, or for the sake of utility (crop plants).
If you want to make a career out of the academic study of plant genetics, you need advanced education (PhD) and the usual peer reviewed publications. There is a dynamic relationship between our understanding of genetics and our ability to manipulate genetics (genetic engineering), and of course plenty of industrial interest in that area. But the broad umbrella of plant genetics also includes tools to describe the variation we see in wild plants, for example. How natural populations differ, as opposed to say different species, based on their DNA. Plant genetics also includes some of the oldest and most effective techniques we have, related to breeding, which of course is central to our domestication of various plants.
I am no kind of expert. Just a one-time geneticist whose interest has turned to plants. I would say there's plenty of inspiration in observing nature's own special beauty, however that may present itself where you live... one thing which deserves a lifetime of observation is the relationship between flowers and pollinators, as they appear around you. All of that is hard-wired in genetics, yet delightfully different from case to case.