Is genetic programming relevant today?
The research is well in progress, though not so much talked about in comparison to machine learning, deep learning in particular.


Genetic algorithms are applied in particular research areas (examples: "Genetic Programming for Estimation of Heat Flux between the Atmosphere and Sea Ice in Polar Regions" (link), "Genetic Programming with Alternative Search Drivers for Detection of Retinal Blood Vessels" (link), "Optimal placement of water-lubricated rubber bearings for vibration reduction of flexible multistage rotor systems" (link)).
If you are interested in a research of genetic algorithms themselves, see the papers by Claire Le Goues.
There is an annual conference dedicated to evolutionary computation.
Programming frameworks are far from dead as well.



  Is genetic programming relevant today?


Not so long ago, in early 2000-s, people asked the same question about neural networks. Hugo Larochelle mentions how the neural networks papers have been reviewed back then. And we know how it turned out. So don't be so quick in your conclusions, it all can change one day.