A week? Then more ideas!
If Indiana Jones had a museum,it would be The Oriental Institute. It’s my favorite museum in Chicago because it’s small, off the beaten path and has a spectacular collection.
The view from the The 95th (as in 95th floor) restaurant at the John Hancock building will amaze. The “secret” cheap alternative is the lounge/bar if you don’t want to spring for a whole meal. It’s connected to the restaurant, you can go into that kind of bar with your dad. I think you can, maybe call ahead.
Take the Brown Line L (yes, it is safe) north from the Loop to Diversey to visit Penny’s Noodles, about 20 minutes.
As @josie says, take a water taxi. On the weekend, you can ride to Chinatown.
Check the calendar for free outdoor concerts in Millennium Park
Also check the Ravinia calendar for not-free concerts. If you are downtown, it’s a 45 minute train ride north and the train drops you off right at the park.
The Lincoln Park Zoo in the city and nearby Brookfield Zoo are both wonderful.
Devon Avenue, around Western Ave, is the center of South Asian shopping in Chicago. You can drive there or take a cab. It’s safe and you can see a neighborhood built by some of the 20% of Chicagoans who were born outside the US.
There are a thousand of other great places, I haven’t begun to exhaust the possibilities, I only know a small part of it. Have fun and enjoy the city!