Mountains have rainy season in July. So I would not recommend you to head to mountains in this month. But if you consider coming to north in early June then you can go anywhere in Himachal Pradesh or in Uttrakhand. For example, travel to Bir Billing where you can paraglide from billing to bir which is an unforgettable experience. Also, rent a cycle and go for an early morning ride when the sun is still rising.
You can also trek to Valley of flowers or to Brighu Lake or travel to Auli if you want to see the snow.
Northern part of India is usual hot in early July and monsoon reaches here by the end of July. If you don't want to visit mountains then you can go to Udaipur, Jodhpur, Jaipur. Try considering North Eastern side as well and go to Sikkim which is the best among all the destination I told you about.
Hi kankana. there are many places to visit in July . mainly hill stations of Himachal and Uttrakhand
Uttrakhand : Kanatal Dhanaulti
Macleodganj & Dharamshala
Dalhousie & Khajiyar
Palampur Churhdhar trek
I hope this is helpful to you