What vegetables do brown baby lizards in Florida eat?

There is no such thing as a 'brown lizard', but if you are possibly referring to a brown anole or house gecko, the answer is 'none'. They eat only insects.

If you are planning to keep a reptile of this type, you MUST buy a book on its care and read up, because they require a LOT of equipment.

Expect to pay between $100 and $150 for a proper basic setup for any diurnal (awake during the day) lizard. ("There's no such thing as a free puppy." ...or a free lizard).