The Earth-Sun L1 point is 1.5 Gm from the Earth, pretty much exactly 1% of the distance from the earth to the sun. So to fully cover the sun (as seen from one spot on Earth), the blind would have to be 1% of the Radius of the sun. That's basically the radius of the Earth, or 4 times the radius of the Moon. To cover the sun as seen from anywhere on Earth, you would need a slightly bigger radius due to perspective.
But one doesn't need to cover the whole sun (unless one wants to play the grandparent's nefarious games with Asia). A 1% reduction in insolation would already help a lot. So that gives us about 1% of the area of the earth, or 1.5e12 m^2. With graphene's density, that works out to be 1,120,000 kg for a single layer. For comparison, the international space station's mass is 450,000 kg, so that mass is within the realm of the possible to launch, even to the much greater distance of L1.
But a single layer of graphene is transparent, which isn't a good quality to have for blocking the sun. So much more than 1 layer would be needed. That would very quickly bring the mass into unrealistically high levels, corresponding to hundreds or thousands of space stations. And that still ignores the mass of the supports needed to keep the graphene extended and in the right shape, which would probably weigh more than the graphene itself.
Another problem inherent to such a large surface area is that the solar wind will exert a pretty large force on it. The solar wind has a pressure of about 4nPa, which multiplied with the huge surface area gives a force of 6 kN towards the Earth. So a rockets would have to be mounted on it to keep it in orbit. Or actually, one can compensate for this force by moving solar sail blind closer to the sun, where it would be able to orbit with the same angular velocity as the Earth without any correcing rockets on average. However, the solar wind isn't constant, so it would still need corrective rockets. And it would be in the way for all the current sun-observing satellites at L1. There would also be a tendency for the blind to rotate to show its thin direction to the solar wind, which would need to be counteracted.
This could probably be done, but I it would probably be by far the largest project ever attempted, and much more expensive than other, simpler ways of dealing with global warming, such as polluting less. It's a fun idea, though.