Where the requirement hides
Commercial leases put insurance in three places: the insurance clause itself, the indemnification clause that explains why the landlord wants it, and an exhibit that carries the actual numbers. Read all three. The exhibit is where you will find the per-occurrence limit, the aggregate, the additional insured wording and any notice period.
If the lease was drafted by a national landlord or a property manager, the insurance exhibit is usually a standard form reused across properties. The limits in it reflect the building, not your business, which is why a small café in a large downtown building can face the same asks as a law firm upstairs.
Reading the limit language
"Not less than $1,000,000 per occurrence and $2,000,000 in the aggregate" means two numbers on your general liability dec page must be at least that high. "Combined single limit" refers to auto. "Each accident / disease–policy limit / disease–each employee" are the three employers' liability limits on a workers' compensation policy.
Leases sometimes allow an umbrella to make up the difference: "which limits may be satisfied by a combination of primary and umbrella coverage". When they do, an umbrella is usually the simpler fix.
Additional insured is not the same as certificate holder
The landlord appears on a certificate in two possible roles. As certificate holder, they simply receive the document. As additional insured, they are covered under your policy for claims arising from your operations in the space. The second one is what the lease is asking for, and it only exists if an endorsement is attached to the policy.
Carriers offer this two ways. A blanket additional insured endorsement covers anyone you are required by written contract to add, so new landlords and clients are covered automatically. A scheduled endorsement names each party individually and has to be amended each time. If your policy carries the blanket form, a live certificate can show the landlord's status immediately; if it does not, the carrier has to add it.
What to send the landlord
A certificate of insurance that lists each required policy with its carrier, policy number, dates and limits, shows the landlord as certificate holder, and references the endorsement forms that give additional insured, waiver and primary-and-non-contributory status. Attach the endorsements if the landlord's lender asks for them.
With a live certificate, the landlord gets a link instead of a file. It shows the same table, updates when a policy renews or cancels, and notifies the landlord when something changes, which is what the notice-of-cancellation clause was trying to achieve in the first place.