I think this may be a bit unusual.I have checked the "MSD Veterinary Manual" on line and it says:-
"Recovery depends on early, aggressive antibiotic treatment. If signs of encephalitis are severe, death usually occurs despite treatment. L monocytogenes is susceptible to penicillin (the drug of choice), ceftiofur, erythromycin, and trimethoprim/sulfonamide. High doses are required because of the difficulty in achieving minimum bactericidal concentrations in the brain.
Penicillin G should be given at 44,000 U/kg body wt, IM, daily for 1–2 wk; the first injection should be accompanied by the same dose given IV. Supportive therapy, including fluids and electrolytes, is required for animals having difficulty eating and drinking. High-dose dexamethasone (1 mg/kg, IV) at first examination is considered beneficial by some but is controversial and will cause abortion during the last two trimesters in cattle and after day 135 in sheep."
I am NOT a vet, but I am a human physician and I am familiar with these antibiotics. These antibiotics are not the same "family" as Gentamicin. However - very important - your vet should/will know what antibiotics are best for the particular bacteria in your area, so I wouldn't panic. It might be worth calling him/her and gently/politely asking why they are using Gentamicin when the books say other antibiotics are indicated. That's what I'd do,for peace of mind.
Vitamins are an animal thing I don't know much about, but I know vets say help - my sheep have had them when ill.
Hope this helps and your little one gets better