One of my friends studied at LNCT Bhopal. According to him, Bhopal is a beautiful city and a great place for you to be exploring on the weekends. There are so many options based on what you wish to do.
If you love to explore the natural beauty, you can visit some beautiful spots like the following: Van Vihar National Park, Upper Lake, Lakeview Point, Kolar Dam, and Kaliasot Dam.
You could also get your friends and collectively book adventure camps on the outskirts of the city. If you are a foodie there are so many eateries and cafes located in the city just waiting to be explored. Some of them are Bapu ki Kutia, Shahi haveli, Ranjit Lakeview, Olives and Honey, Café 9, Sukoon, Cad M Cad B, and Vintage Indian Coffee House.
If you are some who likes to explore the history or a city, there are so many spots for that too, like:
If you are someone who enjoys spending some time just hanging out with friends, DB Malls can also be one of your favorite spots. There are also many resorts and water parks you can visit on your day off.