Not Quite.

os.time will return the seconds passed since the Unix Epoch according to UTC time, and you may use this to log the times that things happen. If you need something which can parse the time for you, we have one in Valkyrie

local SECOND = 1;
local MINUTE = 60*SECOND;
local HOUR = 60*MINUTE;
local DAY = 24*HOUR;
local WEEK = 7*DAY;
local YEAR = 365*DAY;
local LYEAR = 366*DAY;
local AYEAR = 365.25*DAY;
local TYEAR = 365.24*DAY;
local MONTH = TYEAR/12;
local iMONTH = DAY/0.0328549;

local ce, fl, t = math.ceil, math.floor, os.time

local Days = {
    "Monday";
    "Tuesday";
    "Wednesday";
    "Thursday";
    "Friday";
    "Saturday";
    "Sunday"
}
local Months = {
    31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31
}
local iMonths = {
    "January";
    "Febuary";
    "March";
    "April";
    "May";
    "June";
    "July";
    "August";
    "September";
    "October";
    "November";
}

local function isLeapYear(year)
    if year0 == 0 then
        return year%400==0;
    end;
    return year%4==0;
end
local function TimeFromSeconds(sec)
    sec = sec or t();
    sec = sec%DAY
    return string.format("%.2d:%.2d:%.2d", sec/HOUR, sec/60%60, sec%MINUTE)
end
local function DayFromSeconds(sec) -- Epoch was on a Thursday
    sec = sec or t();
    return Days[ce(((sec+3*DAY)%WEEK)/DAY)]
end
local function GetMonth(sec) -- Not so lazy months
    sec = fl(sec or t());
    sec = sec+1; -- Otherwise it treats midnight as being yesterday
    local ileap = isLeapYear(fl(sec/YEAR)+1970);
    while sec > (ileap and LYEAR or YEAR) do
    	sec = sec - (ileap and LYEAR or YEAR)
    	ileap = isLeapYear(fl(sec/YEAR)+1970);
    end;
    local days = ce(sec/DAY)
    local month = 0;
    local useLeapFeb = isLeapYear(fl(sec/YEAR+1970))
    for i,v in pairs(Months) do
        if i==2 and useLeapFeb then v=29 end;
        if days>v then
            days = days-v;
        else
            month = iMonths[i]
            break
        end
    end
    return month, days;
end
local function FullDate(sec)
    sec = sec or t();
    local ret = {}
    ret.Time = TimeFromSeconds(sec)
    ret.Month, ret.Date = GetMonth(sec)
    ret.Day = DayFromSeconds(sec)
    ret.Year = fl(sec/YEAR)+1970
    ret.Second = sec%MINUTE
    ret.Minute = fl(sec/60%60)
    ret.Hour = fl(sec%DAY/HOUR)
    return ret;
end

-- FullDate is now the one you want
print(FullDate().Month) --> June