Hi mommaof3,
We appreciate your question about the filler/lip that fills the gap between the range and the counter.
Yes, the slide-in range has a filler or lip to cover the edge of the counter. The length of the lip is approximately 1/2 an inch. Please refer to page 5 of the user manual shared below.
https://downloadcenter.samsung.com/content/EM/201811/20181130090015185/Install_NE58H9970WS_AA_AC_DG68-00594A-07_EN-MES-CFR.pdf
Should you need more assistance, please feel free to get back to us via the following options:
1. Facebook Messenger: http://m.me/samsungsupport
2. Twitter: https://twitter.com/messages/compose?recipient_id=18768513
3. Samsung Community: https://us.community.samsung.com/t5/Samsung-Community/ct-p/us
When you message us, give them this number 1144819278 and it will help our team pull up your information.
Leo