Take a regular beginner strength program, reduce the volume, and do that alongside BJJ.
So, just to spitball a program for two days a week on top of BJJ that you're doing, say, 3 times a week:
- A day: squat 2 sets of 5, adding weight every 3 sessions. As many sets of towel-grip pull-ups necessary to get to 25 or 30. Add weight if it only takes 2 sets.
- B day: power clean 3 sets of 3 (again, adding weight every 3 sessions), then deadlift one set of 5 (yet again, adding weight every 3 sessions), then as many sets of dips necessary to get 40 reps. Add weight if you only need 2 sets.
Stretch frequently, both after workouts and on non-workout days. The squats need to be real, deep squats, not half squats. Front squats might be easier to accomplish for this purpose. Deadlifts should be heavy fairly quickly, and done with a strictly straight back.
That's it. Strength training for a BJJ noob is basically regular strength training with less volume. Since you're an athlete you need to do at least some power work (e.g. power cleans, sprints, box jumps). Everyone should do some mobility work. Conditioning for a BJJ noob means going to class and rolling a lot.