"have internet access", here it is a noun, and can be said 网络连接 or 网络接入。

上网 is a little different from 网络连接。let me say like this, "i dont have an id to get on" and "i dont have an id", "i do not have internet access to get online" and "i do not have internet access". what the first one concerns is "to get on", and the other one is "an id".

no internet lately

用普通话，"internet access" 怎么说？ （上网吗？） 这些天，我 不没有在家 上网。我 必须去 一间咖啡厅使用 互联网  上网。 可是 "上网"  网络  并不稳定。  这是  使我感到很  不方便 和 沮丧。

In Mandarin, how do I say "internet access"? (上网?)
These days, I do not have internet access at home.
I must go to a coffee shop to use the internet.
But the connection is not stable.
It is inconvenient and frustrating.

"internet access" is "上网"