Running 24/7 in most cases should not overstress the equipment.
Without knowing the conditions like, is the pump in direct sunlight, is there vegetation blocking the motor ventilation, has the pump ever shut down due to overheating. I can't tell you that there will be no issues, but in general, it should be fine.
You might want to consider having a timer/controller installed to allow the pump to run for a spacific number of hours. I have a cheap mechanical timer (<$100), which runs my pump and SWG for 9 hours a day.
If you have a 1 Hp Hayward Super pump, the rating is 0.75 kW per hour or 18 kW for 24 hours, you can multiply the price you pay per kW to determine how much running the pump 24/7 cost you.
Ie. If you pay $0.20 per kW 18x.020= $3.60 per day. If you had a timer, you could reduce your run time to 12 hours a day and drop down to $1.80 per day.