The most common saying is: receive higher education-higher education is "university education"

Or available: receive a college education.

Precautions:

Use "receiving education" instead of "receiving education" because receiving education is a "passive" acceptance process, not an active acceptance process.

Reference:

/Baidu? Wd = Reception+Higher Education & amptn=monline_dg

/Baidu? Wd = Reception+College+Education & amptn=monline_dg