Unfortunately, more often than not the lawn is colonized by non-native invasive species that do more to support honeybees (a non-native, potentially invasive species itself) than the native bee species.
The best thing you could do is intentionally kill a patch of lawn and seed in with a native seed mix. You could kill the grass with plastic tarping to cook it in summer (solarization), but that can take a full year. Or, an application of Round-Up can do it in a week. Yes, I know that might be controversial, but IMO the downside of a single, judicious herbicide application is more than offset by the long term ecological benefit that a flourishing native prairie patch provides, especially if you have deep-rooted weeds like thistle in your lawn.
Also, make sure you find a seed mix that's specifically native species to your region. Anything sold at a big store like Home Depot labeled "wildflowers" should be avoided, because they typically use non-native flower seeds in the mix. I highly recommend MNL and Prairie Moon for quality seed mixes.
I started converting parts of my 1.5 acre property to Midwest prairie restoration about 10 yr ago, and now have a solid quarter acre worth of prairie patches, along with a 5x5 and 10x10 pond I dug for wildlife. At last count, I documented over 50 species of native grasses and forbs growing. They stay green even in the worst drought years too with minimal watering. The yard is mobbed with butterflies, frogs, toads, songbirds and native bees all summer long.
= new reply since forum marked as read