If you use a single line of 1" pipe, the head loss will likely be quite high and flow rates very low. However, if you use 10x100' lines in parallel instead of a single 1000' line, the equivalent head loss will be close to 100' of 2.5" line which is a much better situation. 20x50' line would be the equivalent of 50' of 3" line which would be even better.

Also, 1" line is probably going to be less efficient than using smaller tubes like many solar panels. 1000' of 1" line is only about 80 sq-ft of surface area so that is less than 20% surface area coverage for your pool which is a little on the low side. While it will probably add heat to the pool, don't expect too much of a rise.