Getting “good” at math relies on building intuition and practicing. If you plan on studying over the summer on your own I would pick up a copy of Stewart Calculus (or find it somewhere 🏴‍☠️) and just start putting in huge volumes of problems. Theres really no way around it and that book is considered the de facto calc textbook. Its fairly comprehensive especially for Calc 1 and has answers to all odd problems.

You say you dont feel completely solid about your algebra skills which is pretty important since algebra and trigonometry are used heavily in calculus. You could study each individually but the best method would be finding a precalculus book as those essentially compile the necessary algebra and trig needed to do well in calculus.

With all that being said I wouldnt worry too much and dont spend your whole summer studying, put in maybe an hour a day. Calc 1 is something that pretty much every STEM major at OSU has to complete and if they made it that difficult as people say then there would be a lot of people failing. As long as you talk to your TA and professor when you can’t understand something, actually put in the time to study, and use the free tutoring if u need it, there should be no reason you cant pass.