Catholic do offer her veneration, which can appear to be worship. The sheer majority do not think she is God however. You should see the respect given to the communion host. Those who have been properly taught get down on both their knees and bow when it is exposed.
Many post-Luther non-Catholic Christians have this "either/or" mentality which is often the cause of these "Catholics worship Mary" ideas.
I witnessed a woman go up to the Mary statue and kneel down to pray. To Mary. You can call it veneration, but it's still worship. Again, it may well not be what the majority of Catholic churches do or teach, but this one did.