Keep in mind that you are comparing an inkjet (probably) print to a photographic print. A photographic print using light sensitive paper will always look better than a dot matrix print on normal cardstock whether it is from a digital camera or from a negative.
The print you got from your photo-lap might actually be a digital print too! Most labs are converting their standard printing machines into high-tech computer stations. Instead of projecting light through a negative onto the photo paper, the negatives are scanned with at a super-high resolution. The now digital image is color balanced and then projected onto the same paper that the “old fashioned” machines use.