No center tap, so you only have two choices: Use a full-wave bridge rectifier to make a single 10V regulated supply which is split into +5V and a -5V using an active electronic center tap, or use only half-wave rectification to create unregulated +V and -V followed by one each positive and negative regulators to create the +5V and -5V.
The second method requires much larger filter capacitors (2 of them) than the first method. If you had two transformers, one transformer with two secondaries, or a higher voltage secondary with a center-tap, it would be much simpler and more efficient (less ripple, less dissipation in the regulators) than trying to do it with just one non-center tapped winding.