Running electric to swimming pool pump
Pools are more often hard than not -- even for the pros

Article 680 of the NEC covers swimming pools and similar constructions.  It's sadly one of the more complex articles of the NEC, and thus easy to get wrong, even for a pro.  Attention to detail is critical here as even relatively small shocks in a pool can lead to fatal electric shock drowning.

With that said, it's not an impossible DIY job, especially given the type of pool you have.  Your pool is indeed a storable type due to its fabric liner construction even though it exceeds the 42" depth limit otherwise set in the NEC -- this isn't clear due to definition conflicts in 680.2, but to interpret this as a permanently installed pool would cause a mess trying to apply several Code requirements (such as full equipotental bonding of the pool and surrounding ground) to this situation.

Your plan with the conduit is fine

Your plan with the PVC conduit is more than fine, and putting in an amply sized conduit (3/4" at a minimum) will leave room for future expansion should another circuit need to be run to the pool.  You will need to provide a switched receptacle fed from the load side of the GFCI you are installing though -- this is to meet the disconnecting requirements in 680.12.  However, while-in-use covers and non-metallic weatherproof boxes only go up to 2 gangs, switched GFCI/receptacles can't be wired to switch the receptacle off while the load terminals stay on, weather-resistant switch/receptacle combos aren't a thing to begin with, and modern GFCIs get grumpy when placed on the load side of a switch (you need to reset the GFCI every time you flip the switch on).

Given all that, I'd use a weatherproof double gang (FD) conduit box securely mounted to a post in the ground between 6' and 20' from the pool's edge and provide GFCI protection at the panel with a GFCI breaker -- one gang is a standard wall switch, while the other gang is a standard duplex receptacle wired to be half-switched by the wall switch.  This way, one half is disconnectable so that it can be used for the pool pump, while the other half provides power while the pool pump is disconnected (for lighting, maintenance, or uses unrelated to the pool).

The filter pump, then, plugs into this switched receptacle, and the whole double gang assembly is under a double gang while-in-use cover that also weatherproofs the switch.  Also, don't forget to drill a 1/8" drain hole in the bottom of the FD box so that what water does get in can get out, and so that pressures inside the box and conduit system can equalize with the ambient barometric pressure, reducing the driving forces for water leakage across the box and cover seals.

Last but not least, don't forget to slap a "GFCI Protected" label on the receptacle!