Like other people have said, an orbit will not induce local gravity from the sun, because an orbit is in freefall by definition. What you want is a statite, which uses solar radiation pressure to maintain a fixed distance from the sun. This relies on the sail's lightness number, which is the ratio of its maximum acceleration to the sun's gravity, and which normally does not vary with distance. The maximum available acceleration with current technology is 0.26, which is not very good. The theoretical maximum, with some kind of lattice sail, is 22, which is enough. However, that's only the beginning of the troubles you might have.
To get 1g of gravity from the sun, you need to be at about 5.29 solar radii, or 3.68 million kilometers, or 0.025 AUs. At that distance, you receive about 1600 times as much sunlight as you do on Earth. The article on solar sails says that carefully designed sails can maintain safe operating temperatures down to 0.25 AUs.
If you can get a sail working at that altitude, you'd have to protect the station from the sun's light. Using information from designs of probes like the Parker Space Probe, we could probably keep the temperature of both the sail and the station down by having the sail's incident surface be sharply angled from the sun's light, like a cone, and by keeping the station in the sail's shadow, like a broom balanced on someone's hand. Note that angling the surface reduces how much thrust you can get from it, and the total lightness number of the sail and the station together needs to be greater than 1 even in the worst contingency. Don't forget that the lightness number (which is normally independent of distance) is actually reduced while close to the sun, because it's no longer a point emitter; it takes up about 22° of the sky, so your solar cone will have to be large enough to cover that much from the station's perspective.
Complicating matters is the fact that the station will be in the sun's corona, which is much more active in terms of radiation than the solar wind is. It's also well within the distance that the sun forms coronal loops of magnetic and plasma energy, which are the structures that give rise to coronal mass ejections. Those ejections can cause blackouts and wreak havoc on Earth, millions of kilometers away; who knows what will happen to the station if a coronal loop forms on top of it? To protect against such a thing, you need radiation shielding, which is invariably heavy, and goes against the statite being as light as possible.
Then there's the problem of maintenance. How do you repair the solar sail if it tears? You certainly can't be on the sun side of it, or you'll explode like a watermelon in an incinerator. The hole in the screen will let massive amounts of light through, which will sear anything in their rays, and even if you're patching it from the shady side, the reflections from the piece of solar sail you're attaching will burn out the eyes of any astronaut unlucky enough to be working there. Also, if whatever supports hold the station in place relative to the sail fail, you don't have the luxury of it being in orbit; it will fall like an actual rock on actual Earth. If you're lucky and find out about it when it happens, you'll have just enough time for last rites before you fall through the sail and burn.
All in all, there are much easier ways of generating artificial gravity aboard space stations.