The Short Version
The claim is largely accurate. The best peer-reviewed research (Sender et al., 2016) estimates ~38 trillion bacterial cells versus ~30 trillion human cells, making bacteria roughly 56% of all cells — reasonably described as "approximately half." However, this is a point estimate for a 70 kg adult male with significant uncertainty (~25%) and population variation. The claim also omits that by mass, bacteria account for only ~0.2 kg, so "approximately half" applies to cell count, not biological dominance.