And honestly, if you do want to jump into this, there's nothing better than just to start. Use something like codepen and start playing with CSS & CSS animations. Try replicating some of the text animations (there'll be lots of examples on the internet) and go from there. After CSS animations (which will get you 80% of the way), would be helpful to explore composition & color theory (from a design perspective, studying and replicating examples is good to pick up skill and find your "design voice"). From there, the sky's the limit.
I also highly recommend the book Drawing on the Right Side of the Brain by Betty Edwards.
Unfortunately there’s no hacks to learn draining overnight. Deliberate practice is the only way. Doodling in the margins of your notes during boring meetings is a great way to get reps in.