Hi @byte_sized welcome to the community!
If you are starting your Fortran journey, I would recommend that you try using The Fortran Package Manager together with the fortran-lang’s standard library
If you want to get acquainted with stdlib, a quick way would be to play around at the Compiler Explorer platform and load stdlib as a library Stdlib in Compiler Explorer then you can copy-paste examples from the documentation to understand by doing. stdlib contains many nice API’s such a high level wrappers for BLAS/LAPACK à la Numpy linalg – Fortran-lang/stdlib, hash tables, quadrature rules and many more.
Using fpm, you will be able to easily import and play with libraries, a nice example is the RKLIB by @jacobwilliams GitHub - jacobwilliams/rklib: Fixed and variable-step Runge-Kutta solvers in Modern Fortran, here a small example Fortran code snippets - #58 by hkvzjal. You can find a full list of featured packages here Packages — Fortran Programming Language and the list maintained by @Beliavsky New Fortran projects - #62 by Beliavsky
Happy coding!