You would need to determine why it's not starting: no spark, no fuel, no air, no compression. Since it well stay and run eventually, we can rule out the compression issue. That can be tested with a compression gauge if it is a suspect. Checking three air path involves air filter and air cleaner housing and carb boots. Again, since it eventually runs, about all that could be bad here is a dirty air filter. So that leaves bad ignition or bad carb/fuel system.
Check for spark by pulling one plug from the cylinder head, reconnecting the lead and pressing the hex party of the plug to the posited of the cylinder head. Crank the engine, and seed if there is a good spark. It should need the same for all for plus. Based on what you report, chances are the ignition system is ok. It's possible there's an issue with a coil when it's cold, but the coils for these bikes are usually pretty good.
That leaves fuel. Problems here include a choke adjustment issue, excess vacuum in the tank, petcock filter clogging, cracked fuel links, leaking carb bowls, dirt in the fuel system, or misadjusted carb floats. Check fuel flow by closing the petcock, pulling the fuel line leading to the carbs, and checking the fuel flow into a gas can or boyle. If fuel comes put smoothly and consistently, the tank/vacuum/petcock portion are probably good. If not, check for a dirty filter in the petcock, or a clogged vent for the tank. Another check its to turn the petcock to the ON setting, wait a few minutes, then open the bowl drain for each carb. If nothing comes out, there's an issue with the float our the fuel line for that carb. Some would suggest using a bit of starting fluid to see if it lights off sooner, but I've read warnings about using it.
I would check your choke setting first, then look at the fuel delivery system.
Sorry if it's a bit long winded, but maybe this will help the next guy. Hope this helps.
L ukeM
Used to have a 1979 CB750L, sold it as a parts bike, now riding a slightly modified 1984 VT700C. Network/Field Engineer. Central OH, USA, Earth, Sol System, Milky Way Galaxy, Universe.