A TRACON Controller reported they assigned an IFR aircraft VFR landing instructions which resulted in the aircraft flying below the Minimum Vectoring Altitude.

Narrative

I accepted a radar handoff from ZZZ approach for Aircraft X and observed the aircraft descending out of 4500 ft. at that time. It isn't uncommon for us to get VFR aircraft from that position descending to stay clear of the Class Bravo. When Aircraft X checked in I didn't notice that they were IFR and issued the normal pattern entry instruction for ZZZ from that direction. As a pilot myself I would have expected the pilot of Aircraft X to correct me and let me know that they were IFR when I issued VFR pattern entry instructions; but they didn't say anything; and I didn't notice. As the aircraft approach the reporting point for ZZZ Tower I issued them a frequency change. It wasn't until I observed the low altitude alert go off that something wasn't correct.I initially assumed that perhaps the Tower had turned on MSAW inadvertently. I asked for a full route of the strip and learned that the aircraft was in fact IFR when they were on short final. The aircraft landed without incident. I never heard anything from the Tower about the aircraft being IFR either. I need to be more vigilant in scanning data blocks to ensure I'm providing the correct service for the type of flight plan.