Can women pray in public, like men?
Yes. It is perfectly halal for women to pray in public. But it is mandatory for women to cover their awrah while praying. So, she should cover herself properly whenwhile praying in public.
It says women can pray in the ground in any place. Does that mean they can pray in public, where other men can look at them? Is that correct?
Yes, it is correct. It is permissible for women to pray in public where other men can look at them. But men should not look at her with lust. They should lower their gaze as stated in the Quran:
"Say to the believing men that they should lower their gaze and guard their modesty: that will make for greater purity for them: And Allah is well acquainted with all that they do." [Al-Qur’an 24:30]