Yes i you want only for you to have access to the share you can remove the everyone group, but you will have to add yourself to the share permissions, if you remove everyone and don't add yourself to permissions then you have blocked yourself also from accessing it from network.
Also even if you leave everyone group, you can still allow/disallow access to others by NTFS permissions on security tab.
You have Network share permissions which control who can access the network shares and what they can do on the network, and then you have NTFS permissions which actually control who can read/write/modify the files.
If you allow somebody full access on NTFS but don't allow access on network share then you have only given them rights to the files when they are working on it directly from a machine.
For somebody to be able to read or modify the files over network he has to have network and NTFS permissions
What is the server OS? Are you on a domain network? Are you on the domain controller? Do you want anonymous user access? – Canadian Luke – 2012-10-12T20:13:34.707
OS is Windows 8 – WeDoTDD.com – 2012-10-12T20:14:13.537
domain network, and now sure what you mean by anonymous access... – WeDoTDD.com – 2012-10-12T20:14:34.363
do I simply uncheck the read access on everyone and not remove the group? – WeDoTDD.com – 2012-10-12T20:17:32.097
No. If you want to remove access for the group: remove the group and add the groups/users you actually want to grant access to. – Ansgar Wiechers – 2012-10-12T20:23:28.217
yea I know that Ansgar, I know how to add users and groups and share a folder. My main concern here surrounds the Everyone group. I want to focus the conversation on that. – WeDoTDD.com – 2012-10-12T20:33:42.810