And along the same line, even if it just says "Macintosh SE" it may have a SuperDrive due to an upgrade.
A surefire way to test is to insert a high-density Mac disk that is known to be good (such as a program disk). If it reads, you have a high density drive.
Also, keep in mind there is a very small chance that you actually have an SE/30 if your Mac just says "Macintosh SE". My cousin has one like this (I stuck an SE/30 logic board in an SE case when I built it for her, mostly because I wanted her to have a Mac with a nice un-yellowed case). These are very rare to find but do exist in small numbers.
A surefire way to test is to insert a high-density Mac disk that is known to be good (such as a program disk). If it reads, you have a high density drive.
Also, keep in mind there is a very small chance that you actually have an SE/30 if your Mac just says "Macintosh SE". My cousin has one like this (I stuck an SE/30 logic board in an SE case when I built it for her, mostly because I wanted her to have a Mac with a nice un-yellowed case). These are very rare to find but do exist in small numbers.