how do I read it ?.
Since saprfc_table_read already returns an array, $ACTIVITYGROUPS will be an array of arrays ([] creates a new array element in array $ACTIVITYGROUPS). To read it, you can iterate over it with foreach:
$ACTIVITYGROUPS[] = saprfc_table_read ($fce,"ACTIVITYGROUPS",$i);
foreach ($ACTIVITYGROUPS as $group) {
echo $group['AGR_NAME']; // echos Y:SECURITY_DISPLAY on first iteration
echo $group['FROM_DAT']; // echos 20080813 on first iteration
// and so on...
}