yes, you can round up and then seed into the residue.
Not an optimum way to go about it.
Better is to spray with herbicide in mid may, again in July and again in Sept.
The first spray will kill most of the stuff thats up and growing, the next two will kill stuff that germinates and grows from the seed bank.
Then seed in late fall just before snow.
This will avoid preditation from birds.
Late fall seeding is best, many native plants need stratification to germinate.
If you plant them in the spring they will not germinate till the following spring.
Like all things in life the better the prep the better the result.
Before picking a seed mix look at amount of moisture in location, how much sun it gets and soil type.
Not all seed mixes are equal. Look for native plants for your area. Lots of the cheaper mixes are mostly non-native annuals that while they look good real fast they don't last. After a couple of years for the most part they are gone and you have a weed patch.
A good seed mix will be almost all perennials, a mix of about 40-50% grasses and the rest forbs. Somewhere around 35-50 different species of all native plants.
They will take 2 years typically before they start looking good and every year after that they get better. Some plants don't show up and boom for 5-7 years.
Again like everything else you get what you pay for, a good seed mix is expensive, $750-$1000/acre is not unreasonable.