Whether to look for a new job is more often than not, based on why are you looking? Stay with your employer to weather the Coronavirus storm, especially if you are furloughed, or if you have been made redundant then you have no choice but to look.
However, there are few jobs available at present unless you want to go in to care. As we pull out of this pandemic crisis, it will be an employer’s market which will mean low wages and very high competition for jobs; until we all start building and the economy regains some kind of healthy normality, which will take at least two years.
The best thing you can do is to have short- and long-term goals and use your time at home to study if you can to develop your skills. The grass always looks greener but is it really? And remember you could jump ship and then be finished after your probationary period which is full of peril.