I could not find any function in .NET that just straight out does this.  Further more I could not find any code on the web that explained what would be the best way to go about it.  Finally I found some code here:

http://www.dreamincode.net/code/snippet2120.htm

that checks if you could write to a file and I modified it to check if you could read:

    Public Shared Function CanReadFile(ByVal fileNameWithPath As String) As Boolean

        Dim currentUser As System.Security.Principal.WindowsIdentity = System.Security.Principal.WindowsIdentity.GetCurrent()

        Dim currentPrinciple As System.Security.Principal.WindowsPrincipal = System.Threading.Thread.CurrentPrincipal

        Dim acl As System.Security.AccessControl.AuthorizationRuleCollection = System.IO.File.GetAccessControl(fileNameWithPath).GetAccessRules(True, True, GetType(System.Security.Principal.SecurityIdentifier))

        Dim denyread As Boolean = False

        Dim allowread As Boolean = False

        For Each currentRule As System.Security.AccessControl.FileSystemAccessRule In acl

            If currentUser.User.Equals(currentRule.IdentityReference) Or currentPrinciple.IsInRole(currentRule.IdentityReference) Then

                If currentRule.AccessControlType.Equals(System.Security.AccessControl.AccessControlType.Deny) Then

                    If (currentRule.FileSystemRights And System.Security.AccessControl.FileSystemRights.Read) = System.Security.AccessControl.FileSystemRights.Read Then denyread = True

                Else

                    If currentRule.AccessControlType.Equals(AccessControlType.Allow) Then allowread = True

                End If

            End If

        Next

        If allowread And Not (denyread) Then

            Return True

        Else

            Return False

        End If

    End Function