This is incorrect. The European Parliament elects the Commission President, not the European Council. In fact, von der Leyen narrowly squeaked through in 2019, getting 383 votes with 374 votes required (with her making it being attributed to her hawkish stance on Russia to an extent, which supposedly earned her additional Eastern European votes).

The European Council does nominate the candidate and infamously in 2019 overrode the informally agreed on spitzenkandidaten process, by which the nominee of the political group (EU Parliament equivalent of parties) with the most seats should have gotten the nomination.

That said, the EU Parliament is not bound by the nomination. It can very obviously reject any candidate it doesn't like, though of course the dynamics of candidate selection are heavily influenced by the European Council's nomination power.

But yes, there's nothing per se undemocratic about it and I'm a bit bewildered by people asking for direct election of the President rather than cleaning up the existing process, given that most EU member states elect their heads of government indirectly.