You can plant things that will grow in wet soil, but plants will not dry soil out. The high water table and sump drainage will keep the area wet. Post more info about sun and soil conditions and I'm sure others will provide lists of plants that grow well there.

I'm not a plumbing expert, but you might want to consult one to find out why the sump is draining onto your land and making it wet. Sumps should either connect into the storm water system or to a dry well so that there is no surface water.

Believe it or not I was dealing with the same thing. I put pvc piping to redirect the water. I'm considering running a pipe from the drainage spot towards the natural spring hole.

In past years the spring hole never froze but this year it has thin ice over part. I'll have to check to see if the neighbors have made (as before) blockge measures. Perhaps we can come up with a plan together so water doesn't back up into my yard.

I have planted water lilly in the hole and blue flag in the "drainage ditch"

I have relocated some wild water plants threatened by development. I had pitcher plants, cat tails etc. If you clear from sides of wet spots make sure there is at least one side you let nature or help nature stay overgrown. This will help nature wildlife help you.

Remember to research native (not just naturalized) and use those plants. Don't INTRODUCE anything where you can't control it.

Most cities don't care where your pump discharges. some areas though have rules against sump pump discharges even unto your own land. There is a ton of info about sump pumps at the following link.

Here is a link that might be useful: sumppumps101.com