Will I get a rental car while mine is being repaired?
Maybe. If you carry rental coverage on your own insurance policy, your rental expenses will be covered. If you do not carry rental coverage, you may be entitled to a rental car from the other driver's automobile insurance, assuming they have insurance and were at fault in the accident. Most insurance companies deal directly with the rental agency so you need not worry about paying "up front" fees for your car rental after an accident.
Under some circumstances, you will have to pay for the rental vehicle and then seek reimbursement from the other person's liability carrier. Again, this is determined by who is at fault. Once your vehicle is repaired, the rental vehicle must be turned back into the rental agency immediately or you will be responsible for any additional charges.