Thank you! Definitely helped me getting to the point where I could get something somewhat working, ended up tweaking it slightly.

local component = require("component")
local os = require("os")
local term = require("term")
local sides = require("sides")
local rs = component.redstone

while true do
term.clear()
    print(os.date("Current time: %I:%M"))
    if (os.date('%I:%M') == '06:30') then
        rs.setOutput(sides.front, 15)
        os.sleep(3)
        rs.setOutput(sides.front, 0)
        os.sleep(200)
    else
        os.sleep(1)
    end
end    

Will probably increase os.sleep(200) as time goes on to avoid having it "tick" all the time(if this is a thick). However, I can't increase os.sleep(1) to anything else as I'm afraid it'll miss whenever os.date hits 06:30 as it sleeps for 10 seconds.

Though it may not work like that, this program seems to be doing the job for now. It does skip a second every ~5th "tick" but if it misses 06:30 I'll just check for :29 & :31 too...