A little info on the planes and air group of the proposed carrier.
Messerschmitt's proposal for a shipboard fighter was designated Bf 109T (T for "Trager"). It was basically a Bf 109E-1 with a larger wing, an attachment point for catapult points underneath the fuselage, and an arrester hook underneath the aft fuselage. A breakpoint was incorporated in the wing spar outboard of the gun bays to permit manual folding of the wings. However, the wing folding process was complicated by the need to detach the flaps prior to folding. The landing gear still retracted outwards, but the undercarriage legs were made stronger in order to accommodate the faster sink rates involved in carrier landings. Armament was to consist of two fuselage-mounted 7.9-mm MG 17 machine guns and either two MG-17 machine guns or two 20-mm MG-FF cannon in the wings. The engine was the Daimler Benz DB 601A
In March of 1942, British carrier-based aircraft were able to drive the battleship Tirpitz away from two Allied convoys on the Murmansk run, and Admiral Raeder insisted that aircraft carriers would be absolutely necessary in the future to protect commerce raiders from enemy air attacks. On May 13, 1942, orders were given that construction on the Graf Zeppelin be resumed, and that it should carry an air group of 28 bombers and 12 fighters. However, by this time, the Bf 109T was considered obsolescent for shipboard operations, and proposals were solicited for new carrier-based fighters.
The Messerschmitt company submitted the Me 155, which was basically a navalized Bf 109G. It had a fuselage basically similar to that of the standard Bf 109G, but with an entirely new wing. The undercarriage retracted inwards into wing wells, providing the wider track required for safe carrier landings. Standard naval equipment such as folding wings, catapult spools, and arrester hooks were fitted. The powerplant was a 1475 hp Daimler-Benz DB 605A-1 liquid-cooled engine. Armament was to be one engine-mounted 20-mm MG 151 cannon and two 20-mm MG 151 cannon and two 13-mm MG 131 machine guns in the wings. Estimated maximum speed was 403 mph.
Detailed design of the Me 155 was completed by September of 1942. The Me 155 project was to evolve into a design for a single-seat bomber, then into a high-altitude interceptor. In August 1943, the project was transferred to Blohm und Voss and was redesignated BV 155. It went through numerous changes in design, and was still under test when the war came to an end.
There was also a carrier-based version of the Stuka dive bomber. The navalized version of the Stuka intended for service aboard the Graf Zeppelin was designated Ju 87C. It was basically similar to the Ju 87B, but featuring catapult spools, arrester gear, and jettisonable main undercarriage members for emergency landings on water. Flotation equipment was provided, and provisions were made for manually-folded outer wing panels.
The first Ju 87C-0 pre-production aircraft appeared in the summer of 1939, and the definitive shipboard Ju 87C-1 was to have featured an electrically-activated wing folding mechanism and provisions for carrying a single torpedo under the fuselage in the place of the usual bombs. When work on the Graf Zeppelin was suspended in October 1939, the contract for the production Ju 87C-1s was cancelled, and the aircraft on the production line were completed as Ju 87B-2s.
This thing had a small air group of 28 bombers and 12 fighters. Basicly a CVL.

Cheers Thorgrimm
