Consider the category $TopGr$ of topological groups. I know that this is a model category ( ? one can understand its model structure by understanding a model structure on the category of enriched categories  ?  ). I am new to this kind of stuff and I couldn't find any references on this topic, but as far as I understand, a model structure can be defined as follows:

Weak equivalences and fibrations are just weak equivalences and fibrations in $Top$.

Am I correct? If yes (or not), can someone explain (or give any reference) what model structure can be defined in $TopGr$?

Consider the category $TopGr$ of topological groups. I want to know that this is a model category (can one understand its model structure by understanding a model structure on the category of enriched categories?). I am new to this kind of stuff and I couldn't find any references on this topic, but as far as I understand, a model structure can be defined as follows:

Weak equivalences and fibrations are just weak equivalences and fibrations in $Top$.

Am I correct? If yes (or no), can someone explain (or give any reference) what model structure can be defined on $TopGr$?