Does my 97 Honda Civic Coupe have a coolant leak?

I bought a 97 Honda Civic Coupe and brought it home after a 45 minutes drive. When i got home I noticed that the coolant reservoir was making a bubbling noise. I waited a while and opened it as well as the radiator. The reservoir was empty. So i refilled both the coolant reservoir and the radiator. The next day I drove it around and came home to find the exact same thing happening. The coolant reservoir was bubbling. And when I opened it, it was empty again. I don't see any noticeable leaks but could there be a leak somewhere that I can't see? There's no leaks in the reservoir (well at least none that i can see).

If the oil is muddy like or the coolant smells like exhaust or the exhaust smells of coolant then you bought a blown head gasket.

First of all, STOP DRIVING IT. Not even one more block. You have to hope that you haven't ALREADY damaged the engine beyond repair. Then have it towed to to a mechanic. If you're lucky, it's just a leak, or you need a new radiator or water pump. If you're not, you have destroyed your engine.

You have air in the coolant system, find the bleeder nipple and look up how
to bleed the air out.
Usually it just means filling up the system when coolant is cold, until it's a bit above maximum level as you will lose some during bleeding,
open the bleed screw until coolant and air splutters out, wait to the coolant runs freely without air splutters about (10-15 seconds) then tighten up the bleeder screw, you may have to take the bleed screw right out.
good luck.
PS you will probably find someone has done a quick job recently replacing the thermostat, without bleeding the system afterwards, (just an educated guess)