Geography decides the rest. The Bureau of Engineering defines the public right-of-way as the street easements containing City streets, lanes, alleys, parkways and sidewalks. Your driveway is not in it. The parkway at the curb is.
Once the box is in the right-of-way, LADOT states that all temporary street, travel lane, parking lane, alley and sidewalk closures require a permit from a City permitting agency, and names the two that issue them: the Bureau of Engineering and StreetsLA. LADOT reviews the traffic control plan behind the permit, with 72 hours the line between short and long term.
Without one, StreetsLA cites Los Angeles Municipal Code 56.08: streets and sidewalks may not be blocked by obstructions, and building materials are named as one. Fines begin at $50 and escalate on repeat. The same page states the permitted route with a condition worth reading twice. StreetsLA permits building materials in the right-of-way in relation to an active construction project. A weekend garage cleanout is not one.