A 4.0 GPA is above University of Texas at El Paso's admitted middle-50% GPA range of 3.0–3.7.
You're competitive on GPA — at a school this selective the rest of your application (rigor, essays, extracurriculars, and spikes) is what decides it.
A GPA is the single biggest academic factor, but it's necessary, not sufficient — especially at a 99.9%-acceptance school like University of Texas at El Paso. Your test scores, course rigor, extracurriculars, essays, and any standout achievements all move the number. The estimate above assumes typical scores and rigor; your real odds depend on your full profile.
Estimates are CDS-based and for a typical applicant. Run your full profile for your real, calibrated odds.