Will only the user of the profile be able to see the number of hits?It depends from the field configuration, for example you can set "Visible for" parameter to check who can view the value on the profile.
What information is gathered about the view of the profile?It show the number of visits.
However, can you let me know about any metadata collected?There is not any metadata stored, it is only a field that count visits (of course the field does not count visits from same session).