Sounds right so far...If you don't know the very basics you have nothing to build off of...Many coaches I know who are dealing with first time students usually do something like this

Week 1- Learn jab, learn how to punch with out hurting hands, learn rope, stretching, do some cardio exercises...Maybe some mitt work but only single straight punches to see what is or is not being dome correct right off

week 2- Most like week 1 but add some footwork maybe by moving around on a mat or in ring, start speedbag, double end bag, learn some simple combos to work on

Week 3- add some Mock movement with a partner w no punches..EG just how to keep foot with opp in front of you, more combos, give some diet tips, more cardio exercises, add some difficulty on the bag routines, add some rope tricks, get in ring to move around and see what it is like keeping back off ropes..

Week 4- add regular mitt work, correct anything that has been learned but needs fine tuning, get person accustomed to doing all the workouts that can be done alone alone...

and so on I think you get the idea...Sparring or contact of any kind should not happen for at least 1 1/2 to 2 months......Most of the time a trainer does not give too much 1 on 1 times until they can see the person is taking it serious...

From your description it is quality